The Tamano Theorem in ℳ A P

David Buhagiar

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 4, page 755-770
  • ISSN: 0010-2628

Abstract

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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 𝒯 O P (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.

How to cite

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Buhagiar, David. "The Tamano Theorem in $\mathcal {M}AP$." Commentationes Mathematicae Universitatis Carolinae 40.4 (1999): 755-770. <http://eudml.org/doc/248384>.

@article{Buhagiar1999,
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 $\mathcal \{T\}OP$ (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.},
author = {Buhagiar, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fibrewise topology; continuous map; closed map; paracompact map; perfect map; normal map; compactification of a map},
language = {eng},
number = {4},
pages = {755-770},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Tamano Theorem in $\mathcal \{M\}AP$},
url = {http://eudml.org/doc/248384},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Buhagiar, David
TI - The Tamano Theorem in $\mathcal {M}AP$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 4
SP - 755
EP - 770
AB - 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 $\mathcal {T}OP$ (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.
LA - eng
KW - fibrewise topology; continuous map; closed map; paracompact map; perfect map; normal map; compactification of a map
UR - http://eudml.org/doc/248384
ER -

References

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