Strongly chaotic dendrites

• Autorzy: J. J. Charatonik , W. J. Charatonik
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

order; strongly rigid; rigid; homeomorphism; strongly chaotic; dendrite; chaotic

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 2
• Strony: 181-190

Daty

wydano

1996

otrzymano

1995-03-31

Twórcy

autor

J. J. Charatonik

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

W. J. Charatonik

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

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