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H-Equivalence Classes of Multiplications on Certain Fiber Spaces

Published online by Cambridge University Press:  20 November 2018

Chao-Kun Cheng
Chao-Kun Cheng*
Affiliation:
State University College, Potsdam, New York
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The enumeration of the H-equivalence classes of multiplications on a space is a topic of current interest. In this paper we try to study the H-equivalence classes of multiplications on a CW complex X with finitely many non-vanishing homotopy groups, by using the Postnikov decomposition of X and multiplier arguments [1; 4], This paper presents a way to compute the set of H-equivalence classes of multiplications on X from the knowledge of certain quotient sets of H*(B Λ B, ∑) and some homotopy equivalences of B, where B represents the spaces in the Postnikov decomposition of X, and ∑ denotes abelian groups corresponding to the homotopy groups of X.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 4 , 01 August 1975 , pp. 752 - 765
Copyright
Copyright © Canadian Mathematical Society 1975

References

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