On generalized homogeneity of locally connected plane continua

Janusz Jerzy Charatonik

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 4, page 769-774
  • ISSN: 0010-2628

Abstract

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The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.

How to cite

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Charatonik, Janusz Jerzy. "On generalized homogeneity of locally connected plane continua." Commentationes Mathematicae Universitatis Carolinae 32.4 (1991): 769-774. <http://eudml.org/doc/247312>.

@article{Charatonik1991,
abstract = {The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.},
author = {Charatonik, Janusz Jerzy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {confluent; continuum; dendrite; homogeneous; light; local homeomorphism; locally connected; monotone; open; plane; simple closed curve; universal plane curve; homogeneity; Menger universal curve; Sierpinski universal plane curve},
language = {eng},
number = {4},
pages = {769-774},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On generalized homogeneity of locally connected plane continua},
url = {http://eudml.org/doc/247312},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Charatonik, Janusz Jerzy
TI - On generalized homogeneity of locally connected plane continua
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 4
SP - 769
EP - 774
AB - The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.
LA - eng
KW - confluent; continuum; dendrite; homogeneous; light; local homeomorphism; locally connected; monotone; open; plane; simple closed curve; universal plane curve; homogeneity; Menger universal curve; Sierpinski universal plane curve
UR - http://eudml.org/doc/247312
ER -

References

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