Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua

• Autorzy: Jarosław Kwapisz
• Języki publikacji: EN

Abstrakty

EN

We describe the homotopy classes of self-homeomorphisms of solenoids and Knaster continua. In particular, we demonstrate that homeomorphisms within one homotopy class have the same (explicitly given) topological entropy and that they are actually semi-conjugate to an algebraic homeomorphism in the case when the entropy is positive.

Kategorie tematyczne

• 37B40: Topological entropy
• 54H20: Topological dynamics
• 28D20: Entropy and other invariants
• 37B45: Continua theory in dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 168
• Numer: 3
• Strony: 251-278

Daty

wydano

2001

Twórcy

autor

Jarosław Kwapisz

• Department of Mathematical Sciences, Montana State University, Bozeman, MT 59717-2400, U.S.A.

Identyfikatory

DOI

10.4064/fm168-3-3