Homotopy and Uniform Homotopy. II

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1980Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 78, page 288 (issn: 0002-9939,

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Authors: Calder, Allan; Siegel, Jerrold;

doi: 10.2307/2042274 , 10.1090/s0002-9939-1980-0550515-8

Homotopy and Uniform Homotopy. II

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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.

Keywords

compact space with infinite fundamental group, Fiber spaces in algebraic topology, Compactness, uniform homotopy, Homotopy groups, general; sets of homotopy classes, bounded lifting lemma

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