Geodesic
On generalized homogeneity of locally connected plane continua
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 769-774.

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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.
Classification : 54C10, 54F15, 54F50
Keywords: confluent; continuum; dendrite; homogeneous; light; local homeomorphism; locally connected; monotone; open; plane; simple closed curve; universal plane curve 
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     title = {On generalized homogeneity of locally connected plane continua},
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Charatonik, Janusz J. On generalized homogeneity of locally connected plane continua. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 769-774. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a19/