Resumen de A characterization of metrizable finitistic spaces and its applications to upper semicontinuous set-valued selections

Takamitsu Yamauchi

• In this paper, we give two types of characterizations of finitistic spaces. One is in terms of perfect mappings from zero-dimensional metric spaces, which is analogous to K. Morita's characterization of finite-dimensional metrizable spaces. Another is by means of upper semicontinuous set-valued selections, which is an analogue of M. M. Coban's characterization of finite-dimensional paracompact spaces. Characterizations of some classes of infinite-dimensional spaces and a generalization of finitistic spaces will also be given.