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Topology Seminar

Tue., Mar. 21, 2023 1:00 p.m.

Location: CL 251

Speaker: Manak Singh, University of Regina

Title: K-theory as a generalized cohomology theory


Topological K-theory is an assignment of algebraic data to a topological space. It is a homotopy invariant and satisfies the Eilenberg-Steenrod axioms for a generalized cohomology theory. In this talk I give a rapid introduction to vector bundles over compact Hausdorff spaces. I show how this helps generate useful algebraic data associated to a space, and how the resulting assignment takes the shape of a cohomology theory.