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Varieties Obeying Homotopy Laws

Published online by Cambridge University Press:  20 November 2018

Walter Taylor
Walter Taylor*
Affiliation:
University of Colorado, Boulder, Colorado
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Abstract

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The algebraic structure of a topological algebra influences its topological structure in a way which is profound but not well understood. (See § 7 below for various examples.) Here we examine this influence rather generally, and give a fairly complete analysis of one of the many forms it can take, namely, the influence of the identities of on the group identities obeyed by the homotopy group (or groups of the components) of .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 498 - 527
Copyright
Copyright © Canadian Mathematical Society 1977

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