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Proceedings of the American Mathematical Society

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

 

 

Maps which preserve ANRs


Author: Tatsuhiko Yagasaki
Journal: Proc. Amer. Math. Soc. 96 (1986), 689-692
MSC: Primary 54C55; Secondary 54C56
DOI: https://doi.org/10.1090/S0002-9939-1986-0826503-6
MathSciNet review: 826503
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Abstract: It is shown that maps preserve ANR's and $ {\text{L}}{{\text{C}}^n}$-property if they satisfy a certain movability condition in the fiber shape theory. This generalizes the known results of hereditary shape equivalences to a non cell-like case.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0826503-6
Keywords: ANR, $ {\text{L}}{{\text{C}}^n}$, movability, complete movability, hereditary shape equivalence, approximate fibration
Article copyright: © Copyright 1986 American Mathematical Society