Publication

A class of 2-local finite spectra which admit a v1/2-self-map

Philip Egger
2020
Journal Articles

Abstract

At the prime 2, Behrens, Hill, Hopkins and Mahowald showed that M-2 (1, 4) admits a 32-periodic v(2)-self-map. More recently, in joint work with Mahowald, we showed that A(1) also admits a 32-periodic v(2)-self-map. This leads to the question of whether there exists a finite 2-local complex with periodicity less than 32. We answer this question in the affirmative by producing a class of finite 2-local spectra (Z) over tilde all of which admit a 1-periodic v(2)-self-map. (C) 2019 Elsevier Inc. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/042a8e3c-56c4-43d4-be7b-fd0d80c78f9c

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A class of 2-local finite spectra which admit a v1/2-self-map

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