Dr. Vesko Valov
Professor

Dr. Vesko Valov

He/him/his

Positions

Full-time Faculty
Faculty of Arts and Science - Computer Science and Mathematics - Mathematics
Full-time Faculty
Graduate Studies - Mathematics, MSc

Education

BA, Mathematics, Sofia University
1973
MSc, Mathematics, Sofia University
1974
PhD, Mathematics, Sofia University
1980
Areas of specialization
Topology

Current University Committees & Engagement

  • Member of Graduate Studies Awards and Scholarship Committee

Languages spoken

  • Bulgarian
  • Russian

Teaching Areas

Undergraduate Programs

  • Mathematics

Graduate Studies

  • Mathematics, MSc

Graduate Supervision

Accepting Students for Supervision

School year

  • 2026/27
  • 2027/28

Current Courses

  • Advanced Calculus I, Math 2036
  • Advanced Calculus II, Math 2037
  • Geometry, Math 2116
  • Advanced Linear Algebra, Math 2046
  • Real Analysis I, Math 3136
  • Real Analysis II, Math 3137
  • Algebra II, Math 3157
  • Differential Equations II, Math 3267
  • Measure Theory and Integration, Math 4036
  • Functional Analysis, Math 4086
  • Measure Theory and Integration II, Math 5036
  • Algebra, Math 5056
  • Functional Analysis II, Math 5086

Research

Research Interests

Dimension theories, extension and averaging operators, extensors, function spaces, homogeneous compacta, topological manifolds, measure spaces, selections for set-valued maps

  • Functional Analysis
  • Topology

Current Research Projects / Labs

​Dimensions, extension and averaging operators, homogeneous compacta, selections for set-valued map

Grants & Funding

Topology, NSERC, 2025- 2030

Accolades and Achievements

  • 2019 – 2024            National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 15,000 per year).

  • 2013 – 2018            National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 11,000 per year).

  • 2010                       Chancellor’s Award for Excellence in Research

  • 2008 – 2013            National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 12,000 per year).

  • 2004 – 2007            Nipissing University Research Achievement Award (three years internal research grant, CD 5000).

  • 2003 – 2008            National Science and Engineering Research Council (NSERC) five-year discovery grant (CD 8500 per year).

  • 1997 – 2000            Third World Academy of Sciences (TWAS) Grant for travel and research. My visit to the Mathematical Institute of the National Autonomous 

  • 1990                       British Council research support to visit Oxford University during the period November 1990.

  • 1979                       Award for young researchers – Faculty of Mathematics and Informatics, Sofia University.

Open to Media Inquiries

Publications

Linear and uniformly continuous surjections between  Cp-spaces over metrizable spaces, in print. 
‎

On uniformly continuous surjections between function spaces (with A. Emre Eysen), submitted.
‎

Homogeneous locally compact spaces, submitted.
‎

Local structure of homogeneous ANR-spaces,  Transaction of Amer. Math. Soc. 378 (2025), 1449–1463.
‎

Strongly locally homogeneous generalized continua of finite cohomological dimension, Topology and its Appl. 348 (2024) 108888 (with A. Karassev, P. Krurski and V. Todorov).
‎

Separation of homogeneous connected locally compact spaces, Proc. Amer. Math. Soc. Series B 11 (2024), 36-46.
‎

Proper absolute extensors, Topology Proc. 63 (2024), 107-115. MR4634395
‎

Extending homeomorphisms on Cantor cubes, Topology and its Appl. 340 (2023), paper No. 108718. (with E. Shchepin). MR
‎

On homogeneity of Nτ, Topology and its Appl. 329 (2023), paper No. 108380 (with A. Karassev and E. Shchepin). MR4566918
‎

On homogeneity of Cantor cubes, Canadian Math. Bull. 64 (4), 1084-1090. (with E. Shchepin). MR
‎

Homological characterizations of Q-manifolds and l2-manifolds, Fund. Math. 259 (2022), 255 – 269 (with A. Karassev). MR4502094.
‎

On Q-manifolds bundles, Topology and its Appl. 311 (2022), 107967 (with J. West) MR4403133
‎

On quasi k-metrizable spaces, Topology and its Appl. 281 (2020), 107199. MR4174599
‎

Homogeneous metric ANR-compacta, Serdica Math. J. 46 (2020), 1-18. MR4124057
‎

Spectral representations of topological groups and near-openly generated groups, Mat. Sbornik 211:2 (2020), 106-124 (with K. Kozlov). MR4070046
‎

Actions of semitopological groups, Canad. Math. Bull. 62 (2019), no. 2, 441-450 (with Jan van Mill). MR3952531
‎

On homologically locally connected spaces, Topology Appl. 260 (2019), 57–69 (with A. Koyama). MR3934912
‎

Homogeneous continua that are not separated by arcs, Acta Math. Hungar. 157 (2019),364–370 (with Jan van Mill). MR3928779
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Ranks and the approximate n-th root property of C∗-algebras, Topological algebras and their applications, 275–293, De Gruyter Proc. Math., De Gruyter, Berlin, 2018. MR3793879
‎

Linear extension operators of bounded norms, J. Math. Anal. Appl. 446 (2018), 952–960 (with D. Shakhmatov and T. Yamauchi). MR3818154
‎

I-favorable spaces: Revisited, Topology Proc. 51 (2018), 277–292. MR3978641
‎

Homological dimension and dimensional full-valuedness, Serdica Math. J. 44 (2018), 93–102. MR3889572
‎

Local homological properties and cyclicity of homogeneous ANR compacta, Proc. Amer. Math. Soc. 146 (2018), 2697–2705. MR3778169
‎

Homological dimension and homogeneous ANR spaces, Topology and its Appl. 221 (2017), 38–50. MR3624443
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Parametric set-wise injective maps, Topology and its Appl. 231 (2017), 337–344 (with E. Matsuhashi). MR3712979
‎

Homological selections and fixed-point theorems, Journal of Fixed Point Theory and Applications 19 (2017), 1561–1570. MR3659023
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Game theoretic approach to skeletally Dugundji and Dugundji spaces (with A. Ku-charskiand Sz. Plewik), Topology and its Appl. 201 (2016), 206–216. MR3461165
‎

Local cohomological properties of homogeneous ANR compacta, Fund. Math. 233 (2016), 257–270. MR3480120
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Locally n-connected compacta and UVn-maps, Anal. Geom. Metr. Spaces 3 (2015), 93–110. MR3343668
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Skeletally generated spaces and absolutes, Top. Proc. 45 (2015), 63–71. MR3173794
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On separating sub-additive maps, Turkish J. Math. 39 (2015), 168–173. MR3311682
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Alexandroff type manifolds and homology manifolds, Houston Math J. 40 (2014), 1325–1346(with V. Todorov). MR3298753
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Homogeneous ANR and Alexandroff manifolds, Topology and its Appl. 173 (2014), 227–233. MR3227218
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A selection theorem for set-valued maps into normally supercompact spaces, Bull. Acad. Stiinte Rep. Moldova 2(72)-3(73 (2013), 99–105. MR3241479
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On generalized Alexandroff manifolds and homogeneous continua, (with A. Karassev and V. Todorov), Can. Math. Bull. 57(2) (2014), 335–343. MR3194180
‎

Averaging operators and set-valued maps, Mathematica Balkanica, 27(3-4) (2013), 135–149.
‎

Skeletally Dugundji space, Central Europ. J. Math. 11 (2013), 1949–1959. (with A. Kucharski and Sz. Plewik). MR3092790
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Functional extenders and set-valued retractions, J. Math. Anal. Appl. 399 (2013), 306–314(with R. Alkins). MR2993856
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On a theorem of Arvanitakis, Mathematica 59 (2013), 250–256. MR3028182
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Generalized Cantor manifolds and indecomposable continua, Question and Answers in Gen. Topol. 30 (2012), 93–102 (with V. Todorov). MR3014523
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Embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl., 159 (2012), 1670–1677. (with S. Bogataya and S. Bogatyi). MR2904053
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Special embeddings of finite-dimensional compacta in Euclidean spaces, Topology and its Appl. 159 (2012), 2269–2273 (with S. Bogatyi). MR2921816
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Generalized Cantor manifolds and homogeneity, Houston J. Math. 38:2 (2012), 583–609 (with A. Karassev, P. Krupski and V. Todorov). MR2954653
‎

Another approach to parametric Bing and Krasinkiewicz maps, Math. Balkanica 25:4 (2011), 419–423. MR2961642
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Mazurkiewicz manifolds and homogeneity, Rocky Mount. J. Math. 41:6 (2011), 1933–1938 (with P. Krupski). MR2854744
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Maps with dimensionally restricted fibers, Coll. Math. 123:2 (2011), 239–248. MR2811176
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Very I-favorable spaces, Topology and its Appl. 158 (2011), 1453–1459 (with A. Ku-charskiand Sz. Plewik). MR2812495
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External characterization of I-favorable spaces, Mathematica Balkanica 25:1-2 (2011), 61–78. MR2848574
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Extenders and κ-metrizable compacta, Math. Notes 89:3 (2011), 331–341. MR2856714
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Parametric Bing and Krasinkiewicz maps: revisited, Proceedings Amer. Math. Soc. 139:2 (2011), 747–756. MR2736353
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Krasinkiewicz spaces and parametric Krasinkiewicz maps, Houston J. Math. 36:4 (2010), 1207–1220 (with E. Matsuhashi). MR2753741
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Linear operators with compact supports, probability measures and Milyutin maps, J. Math. Anal. Appl., 370:1 (2010), 132–145. MR2651135
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Approximation by light maps and parametric Lelek maps, Topology and its Appl. 157 (2010), 2325–2341 (with T. Banakh). MR2674029
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Spaces having fibred approximation property in dimension n, Central Europ. J. Math. 8:3 (2010), 411–420 (with T. Banakh). MR2653650
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Finite-to-one maps into Euclidean manifolds and spaces with disjoint disks properties, Topol. and its Appl. 157:4 (2010), 779–788 (with A. Karassev and M. Tuncali). MR2585411
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Open maps having the Bula property, Fund. Math. 205:2 (2009), 91–104 (with V. Gutev). MR2545446
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Sections, selections and Prohorov’s theorem, J. Math. Anal. Appl. 360:2 (2009), 377–379 (with V. Gutev). MR2561236
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A non-separable Christensen’s theorem and set tri-quotient maps, Topology and its Appl. 156:7 (2009), 1234–1240 (with J. Pelant and S. Nedev).
MR2501999
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Probability measures and Milyutin maps, J. Math. Anal. Appl. 350:2 (2009), 723–730. MR22474807
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Parametric Bing and Krasinkiewicz maps, Topology and its Appl. 155:8 (2008), 916–922. MR2406399
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Dimension-raising theorems for cohomological and extension dimension, Topology and its Appl. 155:17-18 (2008), 2090–2101 (with G. Skordev). MR2457994
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Dimension of maps, universal spaces, and homotopy, J. Math. Sci. 155:4 (2008), 573625 (with A. Karassev). MR2731967
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Topology in North Bay: some problems in continuum theory, dimension theory and selections, in: Open Problems in Topology II (E. Pearl ed.), Elseivier 2007, 703–716 (with A. Karassev and M. Tuncali).
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Extension dimension and quasi-finite CW-complexes, Topology and its Appl. 153:17 (2006), 3241–3254 (with A. Karassev). MR2260582
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On intersection of simply connected sets in the plane, Glasnik Matematicki. Ser. III 41:1 (2006), 159–163 (with E. Tymchatyn). MR2242399
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Universal absolute extensors in extension theory, Proc. Amer. Math. Soc. 134:8 (2006), 2473–2478 (with A. Karassev). MR2213722
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Extraordinary dimension of maps, Topology and its Appl. 153:10 (2006), 1586–1592 (with A. Chigogidze). MR2216122
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Roberts’ type theorems on dimension and conversion of the transversal Tverberg’s theorem, Sb. Math. 155:11-12 (2005), 1585–1603 (with S. Bogatyi). MR2216009
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On regularly branched maps, Topology and its Appl. 150:1-3 (2005), 213-221 (with M. Tuncali). MR2133680
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On C*-algebras with the approximate n-th root property, Bull. Austral. Math. Soc. 72:2(2005), 197–212 (with A. Chigogidze, A. Karassev and K. Kawamura). MR2183403
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Extensional dimension and completion of maps, Topology Proc. 29:1 (2005), 377–384 (with M. Tuncali and E. Tymchatyn). MR2182942
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On finite-to-one maps, Canadian J. Math. 48:4 (2005), 614–621 (with M. Tuncali). MR2176159
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Bounded rank of C∗-algebras, Topology and its App. 140 (2004), 163-180 (with A. Chigogidze). MR2074914
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On finite-dimensional maps, Tsukuba J. Math. 28 (2004), 155-167 (with M. Tuncali). MR2082227
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Dense families of selections and finite-dimensional spaces, Set-Valued Analysis 11 (2003),373-391 (with V. Gutev). MR2010098
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On finite-dimensional maps II, Topology and its App. 132 (2003), 81-87 (with M. Tuncali). MR1990081
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On Q, QM and Q#M-algebras, Annals Soc. Mathematicae Polonae, Series 1: Commentationes Math. 42 (2002), 137-143 (with H. Arizmendi and A. Carrilo-Hoyo). MR1949632
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C*-algebras of infinite real rank, Bull. Australian Math. Soc. 66 (2002), 487-496 (with A. Chigogidze). MR1939209
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On dimensionally restricted maps, Fund. Math. 175:1 (2002), 35-52 (with M. Tuncali). MR1971237
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Continuous selections and finite C-spaces, Set-Valued Analysis 10:1 (2002), 37-51. MR1888455
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The extension dimension and C-spaces, Bull. London Math. Soc. 34 (2002), 708-716 (with A. Chigogidze). MR1924198
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Continuous selections and C-spaces, Proc. Amer. Math. Soc. 130:1 (2002), 233-242 (with V. Gutev). MR1855641
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Extension dimension and refinable maps, Acta Math. Hungarica 92:3 (2001), 185-194 (with A. Chigogidze). MR1924237
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Universal metric spaces and extension dimension. Topology and its Appl. 113:1-3 (2001), 22-27 (with A. Chigogidze). MR1821843
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Generalized tri-quotient maps and Cech-completeness, Comment. Math. Univ. Carolinae 42:1 (2001), 187-194 (with T. Dube). MR1825382
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Barreled and bornological function spaces, J. Math. Analysis and Appl. 242:1 (2000), 1-17 (with J. Dontchev and S. Salbany). MR1738486
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Lindel¨of degrees and function spaces, in: Papers in Honour of Bernhard Banaschewski (Cape Town 1996), 475-483, Kluwer Acad. Publ., Dordrecht, 2000 (with D. Vuma). MR1799770
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Some characterizations of Q-algebras, Annals Soc. Mathematicae Polonae, Series 1: Commentationes Math. 39 (1999), 11-21 (with H. Arizmendi). MR1739013
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Spaces of bounded functions, Houston J. Math. 25:3 (1999), 501-521. MR1730884
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Function spaces and Diedonn´e completeness, Quaestiones Mathematicae 21 (1998), 303-309 (with D. Vuma). MR1701773
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Function spaces, Topology and its Appl. 81 (1977), 1-22. MR1477130
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Spaces of bounded functions with the compact open topology, Bull. Acad. Polish Sci. 45:2, (1997), 171-179. MR1466842
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A characterization of Dugundji spaces via set-valued maps, Topology and its Appl. 74:1-3 (1996), 109-121 (with D. Shakhmatov). MR1425931
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Classical-type characterizations of non-metrizable ANE(n)-spaces, Fund. Math. 145 (1994), 243-259 (with V. Gutev). MR1297407
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Set-valued maps and AE(0)-spaces, Topology and its Appl. 55:1 (1994), 1-15 (with A. Chigogidze). MR1255293
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Linear topological classifications of certain function spaces II, Mathematica Pannonica 4:1 (1993), 137 – 144. MR1226179
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Cantor set selectors, Topology and its Appl. 44:1-3 (1992), 163 – 166 (with V. Gutev, S. Nedev and J. Pelant). MR1173253
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Surjective characterizations of metrizable LC∞-spaces, Annuaire de L’ Universite de Sofia ”St. Kliment Ohridski”, livre 1 – Mathematics, 85 (1991), 43 – 47. MR1294260
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Linear topological classifications of certain function spaces, Trans. Amer. Math. Soc. 327:2 (1991), 583 – 600. MR1079059
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Universal maps and surjective characterizations of completely metrizable LCn-spaces, Proc. Amer. Math. Soc. 109:4 (1990), 1125 – 1133 (with A. Chigogidze). MR1009987
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The weight of compact retracts, Vestnik Moskov. Univ., Ser. Mat. 4 (1988), 96-97 (with S. Bogatyi) (in Russian). MR0972731
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Selection theorems for AE(n)-spaces, Comp. rend. Acad. Bulg. Sci. 41:5 (1988), 11-12 (with V. Gutev). MR0952201
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Yet another characterization of AE(0)-spaces, Proc. of the Seventeenth Spring Conference of the Union of Bulgarian Mathematicians. Sunny Beach, April 6-9 (1988), 147-150.
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Set-valued maps and AE(0)-spaces, Comp. rend. Acad. Bulg. Sci. 41:4 (1988), 13-14 (with A. Chigogidze). MR0948061
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Universal maps and surjective characterizations of completely metrizable LCn-spaces,Comp. rend. Acad. Bulg. Sci. 41:5 (1988), 9-10 (with A. Chigogidze). MR0952200
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Another characterization of AE(0)-spaces, Pacif. J. Math. 127:1 (1987), 199–208. MR0876026
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Milyutin mappings and AE(0)-spaces, Comp. rend. Acad. Bulg. Sci. 40:11, (1987), 9-12. MR0926537
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Some properties of Cp(X), Commentationes Math. Univ. Carolinae 27:4 (1986), 665-672. MR0874659
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Some characterizations of the spaces with a lattice of d-open mappings, Comp. rend. Acad. Bulg. Sci. 39:9 (1986), 9-12. MR0875932
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A note on spaces with lattices of d-open mappings, Comp. rend. Acad. Bulg. Sci. 39:8 (1986), 9-12. MR0868702
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Some properties of selectors, Comp. rend. Acad. Bulg. Sci. 38:12 (1985), 1593-1596 (with S. Nedev). MR0837259
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Normal selectors for the normal spaces, Comp. rend. Acad. Bulg. Sci. 37:7 (1984), 843-846 (with S. Nedev). MR0770978
‎

On the spaces which have a τ -lattice of open mappings, Serdica 10 (1984), 159-165. MR0768692
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On metrizability of selectors, Comp. rend. Acad. Bulg. Sci. 36:11 (1983)
1363-1366 (with S. Nedev). MR0737606
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The weight of compacta with lattices of open mappings, Pliska 6 (1983), 63–74 (in Russian). MR0745611
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Free groups of topological spaces, Comp. rend. Acad. Bulg. Sci. 34:8 (1981), 1049-1053 (with B. Pasynkov) (in Russian). MR0639638
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Factorization theorems, Proceedings of the Ninth Spring Conference of the Union of Bulg. Mathematicians. Sunny Beach, April 3-6 (1980), 21-24 (in Bulgarian).
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The power of bicompacta with lattices of open maps, Comp. rend. Acad. Bulg. Sci. 32:8 (1979), 1005-1006 (in Russian). MR0557249
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A certain theorem of Michael on sections, Comp. rend. Acad. Bulg. Sci. 28:7 (1975), 871-873 (with M. Choban) (in Russian). MR0385802
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Book: General position properties in Fiberwise Geometric Topology, Dissertation Math. 491, Warszawa 2013, 120 p. (with T. Banakh) MR3112785.