On hereditary and product-stable quotient maps

Friedhelm Schwarz; Sibylle Weck-Schwarz

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 2, page 345-352
  • ISSN: 0010-2628

Abstract

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It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.

How to cite

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Schwarz, Friedhelm, and Weck-Schwarz, Sibylle. "On hereditary and product-stable quotient maps." Commentationes Mathematicae Universitatis Carolinae 33.2 (1992): 345-352. <http://eudml.org/doc/247395>.

@article{Schwarz1992,
abstract = {It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.},
author = {Schwarz, Friedhelm, Weck-Schwarz, Sibylle},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hereditary quotient; product-stable quotient; pullback-stable quotient; extensional topological hull; CCT hull; topological universe hull; pretopological spaces; pseudotopological spaces; quotient maps; topological spaces; pretopological spaces; monotopological construct},
language = {eng},
number = {2},
pages = {345-352},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On hereditary and product-stable quotient maps},
url = {http://eudml.org/doc/247395},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Schwarz, Friedhelm
AU - Weck-Schwarz, Sibylle
TI - On hereditary and product-stable quotient maps
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 2
SP - 345
EP - 352
AB - It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.
LA - eng
KW - hereditary quotient; product-stable quotient; pullback-stable quotient; extensional topological hull; CCT hull; topological universe hull; pretopological spaces; pseudotopological spaces; quotient maps; topological spaces; pretopological spaces; monotopological construct
UR - http://eudml.org/doc/247395
ER -

References

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