Homology, Homotopy and Applications

Volume 4 (2002)

Number 1

Module derivations and non triviality of an evaluation fibration

Pages: 87 – 101

DOI: http://dx.doi.org/10.4310/HHA.2002.v4.n1.a7

Author

Katsuhiko Kuribayashi (Department of Applied Mathematics, Okayama University of Science, Okayama, Japan)

Abstract

We give a sufficient condition for the evaluation fibration, whose total space is the free iterated loop space, not to be totally non cohomologous to zero with respect to a given field.

Keywords

module derivation, evaluation fibration, the Eilenberg-Moore spectral sequence, Whitehead product

2010 Mathematics Subject Classification

55S05, 55T20, 57T35

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