Algebraic & Geometric Topology

Coalgebraic tensor product and homology operations

Takuji Kashiwabara

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

Article information

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

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

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


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

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