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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the Hurewicz theorem in shape theory


Author: Tadashi Watanabe
Journal: Proc. Amer. Math. Soc. 61 (1976), 137-140
MSC: Primary 55B05
MathSciNet review: 0431134
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0431134-X
PII: S 0002-9939(1976)0431134-X
Keywords: Shape, movability, shape group, Čech homology group, Hurewicz theorem
Article copyright: © Copyright 1976 American Mathematical Society