Geodesic
The Tamano Theorem in $\Cal MAP$
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 755-770.

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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 $\Cal TOP$ (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.
Classification : 54B30, 54C05, 54C10, 54C99
Keywords: fibrewise topology; continuous map; closed map; paracompact map 
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     title = {The {Tamano} {Theorem} in $\Cal MAP$},
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Buhagiar, David. The Tamano Theorem in $\Cal MAP$. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 4, pp. 755-770. http://geodesic.mathdoc.fr/item/CMUC_1999__40_4_a11/