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arXiv · 2211.04992

On the multiplicativity of the Euler characteristic

John R. Klein·Cary Malkiewich·Maxime Ramzi
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Abstract

In this short paper, we give two proofs that the Euler characteristic is multiplicative, for fiber sequences of finitely dominated spaces. This is equivalent to proving that the Becker-Gottlieb transfer is functorial on $\pi_0$.

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John R. Klein, Cary Malkiewich, Maxime Ramzi. 2022-11-09. On the multiplicativity of the Euler characteristic. https://arxiv.org/abs/2211.04992

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