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H-Equivalence Classes of Multiplications on Certain Fiber Spaces
- Source :
- Canadian Journal of Mathematics. 27:752-765
- Publication Year :
- 1975
- Publisher :
- Canadian Mathematical Society, 1975.
-
Abstract
- 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.
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........c0e24e44f2b49dd0ef0708d94c7233a7