%0 Journal Article %A Koyama, Akira %A Alonso MorĂ³n, Manuel %T On classes of maps which preserve finitisticness %D 2002 %@ 0002-9939 %U https://hdl.handle.net/20.500.14352/57252 %X 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. %~