Strongly chaotic dendrites

J. Charatonik; W. Charatonik

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 2, page 181-190
  • ISSN: 0010-1354

Abstract

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The concept of a strongly chaotic space is introduced, and its relations to chaotic, rigid and strongly rigid spaces are studied. Some sufficient as well as necessary conditions are shown for a dendrite to be strongly chaotic.

How to cite

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Charatonik, J., and Charatonik, W.. "Strongly chaotic dendrites." Colloquium Mathematicae 70.2 (1996): 181-190. <http://eudml.org/doc/210404>.

@article{Charatonik1996,
abstract = {The concept of a strongly chaotic space is introduced, and its relations to chaotic, rigid and strongly rigid spaces are studied. Some sufficient as well as necessary conditions are shown for a dendrite to be strongly chaotic.},
author = {Charatonik, J., Charatonik, W.},
journal = {Colloquium Mathematicae},
keywords = {order; strongly rigid; rigid; homeomorphism; strongly chaotic; dendrite; chaotic; strongly rigid dendrite; strongly chaotic spaces; strongly chaotic dendrite},
language = {eng},
number = {2},
pages = {181-190},
title = {Strongly chaotic dendrites},
url = {http://eudml.org/doc/210404},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Charatonik, J.
AU - Charatonik, W.
TI - Strongly chaotic dendrites
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 2
SP - 181
EP - 190
AB - The concept of a strongly chaotic space is introduced, and its relations to chaotic, rigid and strongly rigid spaces are studied. Some sufficient as well as necessary conditions are shown for a dendrite to be strongly chaotic.
LA - eng
KW - order; strongly rigid; rigid; homeomorphism; strongly chaotic; dendrite; chaotic; strongly rigid dendrite; strongly chaotic spaces; strongly chaotic dendrite
UR - http://eudml.org/doc/210404
ER -

References

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  1. [1] J. J. Charatonik, On chaotic curves, Colloq. Math. 41 (1979), 219-236. Zbl0447.54047
  2. [2] J. J. Charatonik, Open mappings of universal dendrites, Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), 489-494. Zbl0469.54019
  3. [3] J. J. Charatonik, Monotone mappings of universal dendrites, Topology Appl. 38 (1991), 163-187. Zbl0726.54012
  4. [4] J. J. Charatonik, On chaotic dendrites, preprint. 
  5. [5] K. Kuratowski, Topology, Vol. 2, Academic Press and PWN, 1968. 
  6. [6] K. Menger, Kurventheorie, Teubner, 1932. 
  7. [7] T. Ważewski, Sur les courbes de Jordan ne renfermant aucune courbe simple fermée de Jordan, Ann. Soc. Polon. Math. 2 (1923), 49-170. Zbl50.0373.02

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