On classes of maps which preserve finitisticness
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2002
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American Mathematical Society
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Koyama, A., Alonso Morón, M. «On Classes of Maps Which Preserve Finitisticness». Proceedings of the American Mathematical Society, vol. 130, n.o 10, marzo de 2002, pp. 3091-96. DOI.org (Crossref), https://doi.org/10.1090/S0002-9939-02-06402-X.
Abstract
We shall prove the following: (1) Let r : X --> Y be a refinable map between paracompact spaces. Then X is finitistic if and only if Y is finitistic. ( 2) Let f : X --> Y be a hereditary shape equivalence between metric spaces. Then if X is finitistic, Y is finitistic.