D. Buhagiar
The Tamano Theorem in $\text {\mathscrr {MAP}}$

Comment.Math.Univ.Carolinae 40,4 (1999) 755-770.

Abstract:In this paper we continue with the study of paracompact maps introduced in [1]. We give two external characterizations for paracompact maps including a characterization analogous to The Tamano Theorem in the category $\text {\mathscre {TOP}}$ (of topological spaces and continuous maps as morphisms). A necessary and sufficient condition for the Tychonoff product of a closed map and a compact map to be closed is also given.

Keywords: fibrewise topology, continuous map, closed map, paracompact map
AMS Subject Classification: Primary 54C05, 54C10; Secondary 54B30, 54C99