Homology, Homotopy and Applications

Steenrod's operations in simplicial Bredon-Illman cohomology with local coefficients

Goutam Mukherjee and Debasis Sen

Full-text: Open access

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.

Article information

Source
Homology Homotopy Appl., Volume 13, Number 1 (2011), 273-296.

Dates
First available in Project Euclid: 29 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.hha/1311953354

Mathematical Reviews number (MathSciNet)
MR2803875

Zentralblatt MATH identifier
1223.55001

Subjects
Primary: 55U10: Simplicial sets and complexes 55N91: Equivariant homology and cohomology [See also 19L47] 55N25: Homology with local coefficients, equivariant cohomology 57S99: None of the above, but in this section 55S05: Primary cohomology operations

Keywords
Simplicial set group action equivariant cohomology equivariant local coefficients cohomology operation Steenrod's reduced power operation

Citation

Mukherjee, Goutam; Sen, Debasis. Steenrod's operations in simplicial Bredon-Illman cohomology with local coefficients. Homology Homotopy Appl. 13 (2011), no. 1, 273--296. https://projecteuclid.org/euclid.hha/1311953354


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