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H-Semidirect Products
Published online by Cambridge University Press: 20 November 2018
Abstract
The concept of H-semidirect product structure on a grouplike space is introduced. It is shown that the loop space ΩX of any based CW-complex X is the H-semidirect product of the identity path-component of ΩX with π1,X. The set of free homotopy classes of maps into a Hsemidirect product inherits the structure of a semidirect product. This leads to new results concerning the nilpotency of homotopy classes of maps into a group-like space.
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- Copyright © Canadian Mathematical Society 1987
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