# On generalized homogeneity of locally connected plane continua

Commentationes Mathematicae Universitatis Carolinae (1991)

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

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topCharatonik, 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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