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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Homotopy and uniform homotopy. II

Authors: Allan Calder and Jerrold Siegel
Journal: Proc. Amer. Math. Soc. 78 (1980), 288-290
MSC: Primary 55R99; Secondary 55U35
MathSciNet review: 550515
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Abstract: An elementary proof of the Bounded Lifting Lemma is given, together with a proof that homotopy and uniform homotopy do not agree for maps into compact spaces with infinite fundamental groups even though they can agree for maps into a noncompact space with infinite fundamental group.

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Keywords: Homotopy, fibrations, bounded map, bounded lifting property, relative compressibility property, Stone-Čech compactification
Article copyright: © Copyright 1980 American Mathematical Society

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