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Coalgebraic tensor product and homology operations

Takuji Kashiwabara

Algebraic & Geometric Topology 10 (2010) 1739–1746

DOI: 10.2140/agt.2010.10.1739

Abstract

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

Keywords

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

Mathematical Subject Classification

Primary: 16W30, 18G99, 55N20, 55S05, 55S10

Secondary: 55S12, 55S25, 55U99, 57T05, 57T25

References
Publication

Received: 16 September 2009
Revised: 10 June 2010
Accepted: 10 June 2010
Published: 11 August 2010

Authors
Takuji Kashiwabara
Institut Fourier
Université de Grenoble I
100 rue des maths
BP 74
38402 St Martin d'Hères
France