The solenoids are the only circle-like continua that admit expansive homeomorphisms

• Autorzy: Christopher Mouron
• Języki publikacji: EN

Abstrakty

EN

A homeomorphism h:X → X of a compactum X is expansive provided that for some fixed c > 0 and any distinct x, y ∈ X there exists an integer n, dependent only on x and y, such that d(hⁿ(x),hⁿ(y)) > c. It is shown that if X is a circle-like continuum that admits an expansive homeomorphism, then X is homeomorphic to a solenoid.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54F50: Spaces of dimension ≤ 1 ; curves, dendrites
• 54E40: Special maps on metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 205
• Numer: 3
• Strony: 237-264

Daty

wydano

2009

Twórcy

autor

Christopher Mouron

• Department of Mathematics and Computer Science, Rhodes College, Memphis, TN 38112, U.S.A.

Identyfikatory

DOI

10.4064/fm205-3-3