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 $S$.

MML Identifier: T_1TOPSP

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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[7] Beata Padlewska and Agata Darmochwal. Topological spaces and continuous functions. Journal of Formalized Mathematics, 1, 1989.
[8] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.
[9] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[10] Andrzej Trybulec. A Borsuk theorem on homotopy types. Journal of Formalized Mathematics, 3, 1991.
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[12] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received March 7, 1998


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