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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Homotopy and uniform homotopy


Authors: Allan Calder and Jerrold Siegel
Journal: Trans. Amer. Math. Soc. 235 (1978), 245-270
MSC: Primary 55D99; Secondary 54E99
MathSciNet review: 0458416
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Abstract: It is shown that the sets, homotopy and uniform homotopy classes of maps from a finite dimensional normal space to a space of finite type with finite fundamental group, coincide. Applications of this result to the study of remainders of Stone-Cech compactifications, Kan extensions, and other areas are given.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0458416-6
PII: S 0002-9947(1978)0458416-6
Keywords: Homotopy, uniform homotopy, Stone-Cech remainder, Kan extension, Čech extension, obstruction theory, bounded path length
Article copyright: © Copyright 1978 American Mathematical Society