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2018 Higher cohomology operations and $R$–completion
David Blanc, Debasis Sen
Algebr. Geom. Topol. 18(1): 247-312 (2018). DOI: 10.2140/agt.2018.18.247

Abstract

Let R be either F p or a field of characteristic 0 . For each R –good topological space Y , we define a collection of higher cohomology operations which, together with the cohomology algebra H ( Y ; R ) , suffice to determine Y up to R –completion. We also provide a similar collection of higher cohomology operations which determine when two maps f 0 , f 1 : Z Y between R –good spaces (inducing the same algebraic homomorphism H ( Y ; R ) H ( Z ; R ) ) are R –equivalent.

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David Blanc. Debasis Sen. "Higher cohomology operations and $R$–completion." Algebr. Geom. Topol. 18 (1) 247 - 312, 2018. https://doi.org/10.2140/agt.2018.18.247

Information

Received: 5 September 2016; Revised: 4 May 2017; Accepted: 22 May 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828005
MathSciNet: MR3748244
Digital Object Identifier: 10.2140/agt.2018.18.247

Subjects:
Primary: 55P60
Secondary: 55N99, 55P15, 55P20

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 1 • 2018
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