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Dr. Ihor Stasyuk

Dr. Ihor Stasyuk
Dr. Ihor Stasyuk
Faculty of Arts & Science - Computer Science / Mathematics, Assistant Professor
office: H351-B
email: ihors@nipissingu.ca
tel: 705-474-3450
ext: 4442
fax: 705-474-1947
web: Ihor Stasyuk's Webpage

Education:

PhD, Lviv National University

Areas of Specialization:

​Topology

Research Interests:

General topology, extensions of maps, function spaces, selection theorems, hyperspace theory

Current & Future Research:

  • Operators extending metric structures, real-valued functions and maps satisfying special conditions
  • Spaces of finite Hausdorff measure
  • Spaces admitting special metrics

Publications:

  1. Convex metrics on non-compact spaces (with J. Nikiel, M. Tuncali and E.D. Tymchatyn), submitted.
  2. Extending functions and metrics with variable domains (with T. Banakh, E.D. Tymchatyn and M. Zarichnyi),  Topology Appl., 231C (2017), 353-372.
  3. Simultaneous brick partitionings of Peano continua (with E.D. Tymchatyn), preprint (2016).
  4. Spaces of sigma-finite linear measure (with E.D. Tymchatyn) Colloq. Math., 133 (2013), 245-252.
  5. On continuous linear operators extending metrics (with E.D. Tymchatyn) Proc. Amer. Math. Soc. 141 (2013), 2913-2921.
  6. A note on uniformly continuous selections for multi-valued maps (with E.D. Tymchatyn), Topology Proc., 39 (2012), 41-44.
  7. A continuous operator extending fuzzy ultrametrics (with E.D. Tymchatyn), Comment. Math. Univ. Carolin., 52, no. 4 (2011), 611-622.
  8. Extending pairs of metrics (with E.D. Tymchatyn), Mat. Stud. 35, no. 2 (2011), 215-224.
  9. A continuous extension operator for convex metrics (with E.D. Tymchatyn), Canad. Math. Bull. 53 (2010), 719-729.
  10. Continuous linear extension of functions (with A. Koyama, E.D. Tymchatyn and A. Zagorodnyuk), Proc. Amer. Math. Soc. 38 (2010), 4149-4155.
  11. On continuous extension of uniformly continuous functions and metrics (with T. Banakh, N. Brodskiy and E.D. Tymchatyn), Colloq. Math., 116 (2009), 191-202.
  12. A continuous operator extending ultrametrics (with E.D. Tymchatyn) , Comment. Math. Univ. Carolin., 50, no.1 (2009), 141-151.
  13. Spaces of finite Hausdorff measure (with M. Tuncali and E.D. Tymchatyn) (in preparation).
  14. Extension of metric structures , PhD thesis, 2007 (in Ukrainian).
  15. Operators extending pseudometrics defined on convex bodies in Euclidean space, Visnyk of Chernivtsi University, Math., 314-315 (2006), 173-180 (in Ukrainian).
  16. On operators extending uniformly disconnected metrics , Mat. Stud., 26 (2006), no.1, 101-104.
  17. On operators simultaneously extending partial ultrametrics, Math. Methods and Phys. - Mech. Fields, 49 (2006), no.2, 27-32 (in Ukrainian).
  18. Operators extending partial ultrametrics continuous in the topology of pointwise convergence, Visnyk of Lviv University, Series Mech. and Math., 64 (2005), 273-279 (in Ukrainian).
  19. Extension of semicontinuous pseudometrics, App. Problems of Mech. and Math., 2 (2004), 88-95 (in Ukrainian).
  20. On a homogeneous operator extending partial ultrametrics , Mat. Stud, 22 (2004), no.1, 73-78.

Courses Taught:

 MATH 1036  Calculus I
 MATH 1070  Fundamental Math Concepts for Teachers
 MATH 1257  Technical Statistics
 MATH 2036  Advanced Calculus I
 MATH 2046  Advanced Linear Algebra I
 MATH 2056  Discrete Mathematics II
 MATH 2076  Probability and Statistics I
 MATH 2116  Geometry
 MATH 2306  History of Mathematics
 MATH 2386  Problem Solving
 MATH 3126  Number Theory
 MATH 3127  Combinatorics and  Graph Theory
 MATH 3136  Real Analysis I
 MATH 3137  Real Analysis II
 MATH 3146  Complex Analysis I
 MATH 3166  Topology
 MATH 3266  Differential Equations I
 MATH 3396  Selected Topics I
 MATH 3397  Selected Topics II
 MATH 4036  Measure Theory
 MATH 4086  Functional Analysis

Nipissing University
100 College Drive, Box 5002, North Bay, ON, Canada  P1B 8L7   Tel: 705.474.3450 | Fax: 705.474.1947 | TTY: 877.688.5507
nuinfo@nipissingu.ca

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