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On classes of maps which preserve finitisticness Koyama, Akira Alonso Morón, Manuel 515.127 515.126.4 515.122 Cell-like maps Cohomological dimension Refinable maps Property-c Spaces Finitistic spaces C-refinable maps Hereditary shape equivalences Extension dimension Topología 1210 Topología 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:51:35Z 2023-06-20T16:51:35Z 2002-03-13 journal article https://hdl.handle.net/20.500.14352/57252 0002-9939 10.1090/S0002-9939-02-06402-X eng 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. restricted access application/pdf American Mathematical Society