Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 1 (2018), 247-312.
Higher cohomology operations and $R$–completion
Let be either or a field of characteristic . For each –good topological space , we define a collection of higher cohomology operations which, together with the cohomology algebra , suffice to determine up to –completion. We also provide a similar collection of higher cohomology operations which determine when two maps between –good spaces (inducing the same algebraic homomorphism ) are –equivalent.
Algebr. Geom. Topol., Volume 18, Number 1 (2018), 247-312.
Received: 5 September 2016
Revised: 4 May 2017
Accepted: 22 May 2017
First available in Project Euclid: 1 February 2018
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Blanc, David; Sen, Debasis. Higher cohomology operations and $R$–completion. Algebr. Geom. Topol. 18 (2018), no. 1, 247--312. doi:10.2140/agt.2018.18.247. https://projecteuclid.org/euclid.agt/1517454217