Mathematics Topology Seminar - John Klein

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Date: January 24, 2023
Time: 2:00 p.m. - 3:00 p.m.
Location: Shuttle - Faculty/Administration Building # 1140 | Map
Category: Seminar

Speaker:   John Klein, WSU


Title:  On the multiplicativity of the Euler characteristic.

Abstract: It is classical that the Euler characteristic is multiplicative for fibrations of homotopy finite spaces.
However, when the spaces of the fibration are merely finitely dominated,  it was not clear until very recently whether a similar result holds, since in the finitely dominated case one cannot appeal to an induction on a cell structure for the base space of the fibration.

In my talk I will show that the Euler characteristic is indeed multiplicative for fibrations of finitely dominated spaces. There are in fact two proofs, (each surprisingly non-trivial).

 This is joint work with Cary Malkiewich and Maxim Ramzi.

Contact

Department of Mathematics
3135772479
math@wayne.edu

Cost

Free
January 2023
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