Algebraic & Geometric Topology

Coalgebraic tensor product and homology operations

Takuji Kashiwabara

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Abstract

In this paper, we show that Hunton–Turner coalgebraic tensor product respects various actions of Hopf algebras of homology operations.

Article information

Source
Algebr. Geom. Topol., Volume 10, Number 3 (2010), 1739-1746.

Dates
Received: 16 September 2009
Revised: 10 June 2010
Accepted: 10 June 2010
First available in Project Euclid: 19 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715151

Digital Object Identifier
doi:10.2140/agt.2010.10.1739

Mathematical Reviews number (MathSciNet)
MR2683751

Zentralblatt MATH identifier
1219.55011

Subjects
Primary: 16W30 18G99: None of the above, but in this section 55N20: Generalized (extraordinary) homology and cohomology theories 55S05: Primary cohomology operations 55S10: Steenrod algebra
Secondary: 55S12: Dyer-Lashof operations 55S25: $K$-theory operations and generalized cohomology operations [See also 19D55, 19Lxx] 55U99: None of the above, but in this section 57T05: Hopf algebras [See also 16T05] 57T25: Homology and cohomology of H-spaces

Keywords
coalgebraic tensor product homology operation cohomology operation Hopf algebra infinite loop spaces

Citation

Kashiwabara, Takuji. Coalgebraic tensor product and homology operations. Algebr. Geom. Topol. 10 (2010), no. 3, 1739--1746. doi:10.2140/agt.2010.10.1739. https://projecteuclid.org/euclid.agt/1513715151


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