The Becker-Gottlieb Transfer Is Functorial

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.

This paper has been withdrawn by the author. Withdrawn - there is a very silly mistake in Lemma 4.11, without which the proof of the main result breaks

References in corpus (2)

• Units of ring spectra and Thom spectra
• Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory

Cited by in corpus (2)

• Quantization via Linear homotopy types
• Nakayama categories and groupoid quantization