An example related to strongly pointwise self-homeomorphic dendrites

Pavel Pyrih

Displaying similar documents to “An example related to strongly pointwise self-homeomorphic dendrites”

An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic

Pavel Pyrih (1999)

Commentationes Mathematicae Universitatis Carolinae

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Such spaces in which a homeomorphic image of the whole space can be found in every open set are called . W.J. Charatonik and A. Dilks asked if any strongly self-homeomorphic dendrite is pointwise self-homeomorphic. We give a negative answer in Example 2.1.

Exactly two-to-one maps from continua onto arc-continua

Wojciech Dębski, J. Heath, J. Mioduszewski (1996)

Fundamenta Mathematicae

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Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable. ...