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ArticleOriginal scientific text

Title

Loop spaces and homotopy operations

Authors 1

Affiliations

  1. Department of Mathematics and Computer Science, University of Haifa, 31905 Haifa, Israel

Abstract

We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in π⋅X. These depend on first algebraically "delooping" the Π-algebras π⋅X, using the H-space structure on X, and then trying to realize the delooped Π-algebra.

Keywords

UND
loop space, topological group, H-space, Π-algebra, delooping, higher homotopy operations, obstruction theory

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Fundamenta Mathematicae
1997/154/1
Export to PBN, Opens in new tab
Pages:
75-95
Main language of publication
English
Received
1996-09-16
Accepted
1997-02-07
Published
1997
Exact and natural sciences