On the classification of inverse limits of tent maps

• Autorzy: Louis Block , Slagjana Jakimovik , Lois Kailhofer , James Keesling
• Języki publikacji: EN

Abstrakty

EN

Let $f_s$ and $f_t$ be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of $f_s$ and $f_t$ are periodic and the inverse limit spaces $(I,f_s)$ and $(I,f_t)$ are homeomorphic, then s = t. This theorem was first proved by Kailhofer. The new proof in this paper simplifies the proof of Kailhofer. Using the techniques of the paper we are also able to identify certain isotopies between homeomorphisms on the inverse limit space.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 37B45: Continua theory in dynamics
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 187
• Numer: 2
• Strony: 171-192

Daty

wydano

2005

Twórcy

autor

Louis Block

• Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, U.S.A.

autor

Slagjana Jakimovik

• Department of Mathematics, Cyril and Methodius University, 1000 Skopje, Macedonia

autor

Lois Kailhofer

• Department of Mathematics, Alverno College, Milwaukee, WI 53215, U.S.A.

autor

James Keesling

• Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, U.S.A.

Identyfikatory

DOI

10.4064/fm187-2-5