On the multiplicativity of the Euler characteristic
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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 0.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Proceedings of the American Mathematical Society |
| Vol/bind | 151 |
| Udgave nummer | 11 |
| Sider (fra-til) | 4997-5006 |
| Antal sider | 10 |
| ISSN | 0002-9939 |
| DOI | |
| Status | Udgivet - 2023 |
Bibliografisk note
Funding Information:
Received by the editors January 21, 2023, and, in revised form, March 2, 2023, and March 23, 2023. 2020 Mathematics Subject Classification. Primary 55R12; Secondary 55M05, 55P25. This work was partially supported by the U.S. Department of Energy, Office of Science, under Award Number DE-SC-SC0022134. The second author was supported by the NSF grants DMS-2005524 and DMS-2052923. The third author was supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).
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