Koyama, AkiraAlonso Morón, Manuel2023-06-202023-06-202002-03-13Koyama, 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.0002-993910.1090/S0002-9939-02-06402-Xhttps://hdl.handle.net/20.500.14352/57252We 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.engjournal articlehttps//doi.org/10.1090/S0002-9939-02-06402-Xhttp://www.ams.org/journals/proc/2002-130-10/S0002-9939-02-06402-X/S0002-9939-02-06402-X.pdfrestricted access515.127515.126.4515.122Cell-like mapsCohomological dimensionRefinable mapsProperty-cSpacesFinitistic spacesC-refinable mapsHereditary shape equivalencesExtension dimensionTopología1210 Topología