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

Pavel Pyrih

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 3, page 571-576
  • ISSN: 0010-2628

Abstract

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Such spaces in which a homeomorphic image of the whole space can be found in every open set are called 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.

How to cite

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Pyrih, Pavel. "An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic." Commentationes Mathematicae Universitatis Carolinae 40.3 (1999): 571-576. <http://eudml.org/doc/248426>.

@article{Pyrih1999,
abstract = {Such spaces in which a homeomorphic image of the whole space can be found in every open set are called 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.},
author = {Pyrih, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {continuum; dendrite; fan; triod; self-homeomorphic; self-homeomorphism},
language = {eng},
number = {3},
pages = {571-576},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic},
url = {http://eudml.org/doc/248426},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Pyrih, Pavel
TI - An example of strongly self-homeomorphic dendrite not pointwise self-homeomorphic
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 3
SP - 571
EP - 576
AB - Such spaces in which a homeomorphic image of the whole space can be found in every open set are called 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.
LA - eng
KW - continuum; dendrite; fan; triod; self-homeomorphic; self-homeomorphism
UR - http://eudml.org/doc/248426
ER -

References

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  1. Charatonik W.J., Dilks A., On self-homeomorphic spaces, Topology Appl. 55 (1994), 215-238. (1994) Zbl0788.54040MR1259506
  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). (1992) Zbl0757.54009MR1192552

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