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Splitting of certain spaces CX

Published online by Cambridge University Press:  24 October 2008

F. R. Cohen ,
J. P. May  and
L. R. Taylor
F. R. Cohen
Affiliation:
Northern Illinois UniversityUniversity of ChicagoUniversity of Notre Dame
J. P. May
Affiliation:
Northern Illinois UniversityUniversity of ChicagoUniversity of Notre Dame
L. R. Taylor
Affiliation:
Northern Illinois UniversityUniversity of ChicagoUniversity of Notre Dame
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Extract

There are a number of theorems to the effect that spaces of the form ΩnσnX split stably into wedges of simpler spaces when X is connected (by which we mean pathwise connected). The proofs generally proceed by exploitation of combinatorially manageable approximations for ΩnσnX.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 3 , November 1978 , pp. 465 - 496
Copyright
Copyright © Cambridge Philosophical Society 1978

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