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Comparison Theorems in Homotopy Theory Via Operations on Homotopy Sets

✍ Scribed by A. J. Berrick; K. H. Kamps


Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
293 KB
Volume
121
Category
Article
ISSN
0025-584X

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✦ Synopsis


In this paper we present comparison theorems in semicubical homotopy theory. Topological versions are more or less well known and have been obtained amongst others by A. DOLD (IS], [7]), I. M. JAMES ([Ill), P. R. HEATH ([9]), S. P. LAM ([15]), and the first author ([Z], [3]). A partially abstract approach has been given by the first author in [3]. We use operations on homotopy sets and the notion of CHEP (covering homotopy extension property).