On the continua which are Cantor homogeneous or arcwise homogeneous
K. Omiljanowski, H. Patkowska (1990)
Colloquium Mathematicae
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Displaying similar documents to “A condition under which 2-homogeneity and representability are the same in continua”
On the continua which are Cantor homogeneous or arcwise homogeneous
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Local connectivity, open homogeneity and hyperspaces.
J. J. Charatonik (1993)
Revista Matemática de la Universidad Complutense de Madrid
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In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua...
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Bernard Madison (1970)
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On generalized homogeneity of locally connected plane continua
Janusz Jerzy Charatonik (1991)
Commentationes Mathematicae Universitatis Carolinae
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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.
Continuous mappings on continua II
T. Maćkowiak, E. D. Tymchatyn
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CONTENTSIntroduction......................................................................................51. General notion of aposyndesis....................................................62. Relation T for special families......................................................83. Properties of T.............................................................................94. T-aposyndesis in homogeneous continua..................................115. Colocal connectedness and T-aposyndesis...............................136....