On open light mappings

Władysław Makuchowski

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 779-788
  • ISSN: 0010-2628

Abstract

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Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.

How to cite

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Makuchowski, Władysław. "On open light mappings." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 779-788. <http://eudml.org/doc/247601>.

@article{Makuchowski1994,
abstract = {Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.},
author = {Makuchowski, Władysław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {continuum; locally connected; open; light; fan; order; component number; open map; light map; locally connected continuum},
language = {eng},
number = {4},
pages = {779-788},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On open light mappings},
url = {http://eudml.org/doc/247601},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Makuchowski, Władysław
TI - On open light mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 779
EP - 788
AB - Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.
LA - eng
KW - continuum; locally connected; open; light; fan; order; component number; open map; light map; locally connected continuum
UR - http://eudml.org/doc/247601
ER -

References

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  1. Charatonik J.J., Charatonik W.J., Miklos S., Confluent mappings of fans, Dissertationes Math. (Rozprawy Mat.) 301 (1990), 1-86. (1990) Zbl0776.54025MR1055706
  2. Charatonik J.J., Omiljanowski K., On light open mappings, Baku International Topological Conference Proceedings, Baku, 1989, pp. 211-219. Zbl0817.54010MR1347226
  3. Kuratowski K., Topology, vol. 2, Academic Press and PWN, 1968. Zbl0849.01044MR0259836
  4. Maćkowiak T., Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-91. (1979) MR0522934
  5. Menger K., Kurventheorie, Chelsea Publ. Comp., 1967. Zbl0005.41504MR0221475
  6. Whyburn G.T., Analytic topology, Amer. Math. Soc. Colloq. Publ., vol. 28, 1942. Zbl0117.15804MR0007095

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