An example for mappings related to confluence

Pavel Pyrih

Archivum Mathematicum (1999)

  • Volume: 035, Issue: 2, page 145-149
  • ISSN: 0044-8753

Abstract

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Confluence of a mapping between topological spaces can be defined by several ways. J.J. Charatonik asked if two definitions of the confluence using the components and quasi-components are equivalent for surjective mappings with compact point inverses. We give the negative answer to this question in Example 2.1.

How to cite

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Pyrih, Pavel. "An example for mappings related to confluence." Archivum Mathematicum 035.2 (1999): 145-149. <http://eudml.org/doc/248348>.

@article{Pyrih1999,
abstract = {Confluence of a mapping between topological spaces can be defined by several ways. J.J. Charatonik asked if two definitions of the confluence using the components and quasi-components are equivalent for surjective mappings with compact point inverses. We give the negative answer to this question in Example 2.1.},
author = {Pyrih, Pavel},
journal = {Archivum Mathematicum},
keywords = {confluent mapping; quasi-component; connected; confluent mapping; quasi-component; connected},
language = {eng},
number = {2},
pages = {145-149},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An example for mappings related to confluence},
url = {http://eudml.org/doc/248348},
volume = {035},
year = {1999},
}

TY - JOUR
AU - Pyrih, Pavel
TI - An example for mappings related to confluence
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 2
SP - 145
EP - 149
AB - Confluence of a mapping between topological spaces can be defined by several ways. J.J. Charatonik asked if two definitions of the confluence using the components and quasi-components are equivalent for surjective mappings with compact point inverses. We give the negative answer to this question in Example 2.1.
LA - eng
KW - confluent mapping; quasi-component; connected; confluent mapping; quasi-component; connected
UR - http://eudml.org/doc/248348
ER -

References

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  1. Mappings related to confluence, Arch. Math. (Brno) 32 (1996), 85 – 103. (1996) Zbl0902.54016MR1407341
  2. Pseudo-confluent mappings and classification of continua, Canad. J. Math. 27 (1975), 1336 – 1348. (1975) MR0418022
  3. Counterexamples in topology, Springer-Verlag, New-York, 1978, pp. . (1978) MR0507446

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