Homotopy and uniform homotopy

Calder, Allan; Siegel, Jerrold

doi:10.1090/S0002-9947-1978-0458416-6

Homotopy and uniform homotopy
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by Allan Calder and Jerrold Siegel

Trans. Amer. Math. Soc. 235 (1978), 245-270

DOI: https://doi.org/10.1090/S0002-9947-1978-0458416-6

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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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