Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
On \Tone\ Reflex of Topological Space

Adam Naumowicz

University of Bialystok

Mariusz Lapinski

University of Bialystok
Summary.

This article contains a definition of $T_{1}$ reflex of a topological space as
a quotient space which is $T_{1}$ and fulfils
the condition that every continuous map $f$ from a topological space $T$ into
$S$ being $T_{1}$ space can be considered as a superposition of two continuous
maps: the first from $T$ onto its $T_{1}$ reflex and the last from $T_{1}$
reflex of $T$ into $S$.
The terminology and notation used in this paper have been
introduced in the following articles
[9]
[4]
[11]
[12]
[2]
[3]
[6]
[7]
[8]
[5]
[1]
[10]
Contents (PDF format)
Bibliography
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Received March 7, 1998
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