Steenrod's reduced power operations in simplicial Bredon-Illman cohomology with local coefficients
Goutam Mukherjee, Debasis Sen
TL;DR
This paper extends Steenrod's reduced power operations to simplicial Bredon-Illman cohomology with local coefficients using Peter May's algebraic approach, focusing on G-Kan complexes with a single vertex.
Contribution
It introduces a novel construction of Steenrod's reduced power operations in a new cohomology context for G-Kan complexes.
Findings
Successful construction of Steenrod operations in the specified cohomology theory
Application of Peter May's algebraic approach to Bredon-Illman cohomology
Framework for further algebraic topology studies in equivariant settings
Abstract
In this paper we use Peter May's algebraic approach to Steenrod operations to construct Steenrod's reduced power operations in simplicial Bredon-Illman cohomology with local coefficients of a one vertex G-Kan complex, G being a discrete group.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Geometric and Algebraic Topology