Complexes are spaces with aσ-almost locally finite base
拓夫 三輪 · Pacific Journal of Mathematics · 1984
In this paper, we introduce the notion of Z)-complexes which are defined by replacing metric spaces with Nagami's D-spaces in the definition of Hyman's M-spaces, and prove a main theorem that every D-complex is a space with a σ-almost locally finite base (this notion was introduced by Ito and Tamano).This theorem sharpens a theorem of Nagata.Furthermore, we deal with the adjunction spaces of two spaces with a σ-almost locally finite base.COROLLARY 4.8.The adjunction space of two D-complexes has a σ-almost locally finite base.