English

The Becker-Gottlieb Transfer Is Functorial

Algebraic Topology 2014-07-14 v2

Abstract

The Becker-Gottlieb transfer gives a wrong-way map on suspension spectra for maps of spaces whose homotopy fibres are retracts of finite complexes. We prove that this construction is contravariantly functorial on the homotopy category level.

Keywords

Cite

@article{arxiv.1310.6321,
  title  = {The Becker-Gottlieb Transfer Is Functorial},
  author = {Rune Haugseng},
  journal= {arXiv preprint arXiv:1310.6321},
  year   = {2014}
}

Comments

This paper has been withdrawn by the author. Withdrawn - there is a very silly mistake in Lemma 4.11, without which the proof of the main result breaks

R2 v1 2026-06-22T01:52:42.311Z