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Title: An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic (English)
Author: Pyrih, Pavel
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 40
Issue: 3
Year: 1999
Pages: 571-576
Category: math
Summary: Such spaces in which a homeomorphic image of the whole space can be found in every open set are called {\it self-homeomorphic}. 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. (English)
Keyword: continuum
Keyword: dendrite
Keyword: fan
Keyword: triod
Keyword: self-homeomorphic
MSC: 54C25
MSC: 54F15
MSC: 54F50
idZBL: Zbl 1010.54038
idMR: MR1732479
Note: XXX v náhledu jsou stránky 583, 572-576 ()
Date available: 2009-01-08T18:55:20Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Charatonik W.J., Dilks A.: On self-homeomorphic spaces.Topology Appl. 55 (1994), 215-238. Zbl 0788.54040, MR 1259506
Reference: [2] Nadler S.B., Jr.: Continuum Theory: An Introduction.Monographs and Textbooks in Pure and Applied Math, vol. 158, Marcel Dekker, Inc., New York, N.Y. (1992). Zbl 0757.54009, MR 1192552


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