English

On the multiplicativity of the Euler characteristic

Algebraic Topology 2023-03-29 v2 K-Theory and Homology

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 π0\pi_0.

Keywords

Cite

@article{arxiv.2211.04992,
  title  = {On the multiplicativity of the Euler characteristic},
  author = {John R. Klein and Cary Malkiewich and Maxime Ramzi},
  journal= {arXiv preprint arXiv:2211.04992},
  year   = {2023}
}

Comments

Accepted version. 13 pages plus references

R2 v1 2026-06-28T05:31:37.918Z