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Mathematics student presents summer research

Nipissing’s Department of Computer Science and Mathematics presents a discussion, titled Bases of products of finite dimensional metric compacta, on Friday, October 9, at 11:30 a.m. in A223.

The discussion will be lead by Bradley Lalonde, NSERC USRA summer research student, who worked withDr. Vesko Valov​​, professor of Mathematics at Nipissing University, over the course of the summer

Here’s an abstract:

It is well known that every point of a finite-dimensional metric homogeneous absolute neighborhood retract (ANR) has a base possessing properties similar to the local base at any point of the corresponding Euclidean space. The natural question arises whether every point (x,y) from a product XxY of two metric finite-dimensional compacta X and Y has a base B(x,y) with the same properties such that B(x,y) is a product of two bases B(x) and B(y) at the points x and y, respectively. In this talk the author provides a proof of such a result.

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