A note on the Hurewicz theorem in shape theory

Watanabe, Tadashi

doi:10.1090/S0002-9939-1976-0431134-X

A note on the Hurewicz theorem in shape theory
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by Tadashi Watanabe PDF

Proc. Amer. Math. Soc. 61 (1976), 137-140 Request permission

Abstract:

In this note the following is proved: For a pointed movable continuum, if the first shape group of it is a countable group, then the first Hurewicz theorem in shape theory holds. However, in general, it does not hold without the assumption of countability.

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