TY - JOUR AU - Koyama, Akira AU - Alonso MorĂ³n, Manuel PY - 2002 DO - 10.1090/S0002-9939-02-06402-X SN - 0002-9939 UR - https://hdl.handle.net/20.500.14352/57252 T2 - Proceedings of the American Mathematical Society AB - 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... LA - eng M2 - 3091 PB - American Mathematical Society KW - Cell-like maps KW - Cohomological dimension KW - Refinable maps KW - Property-c KW - Spaces KW - Finitistic spaces KW - C-refinable maps KW - Hereditary shape equivalences KW - Extension dimension TI - On classes of maps which preserve finitisticness TY - journal article VL - 130 ER -