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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2005 | 187 | 2 | 171-192

## On the classification of inverse limits of tent maps

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.

171-192

wydano
2005

### Twórcy

autor
• Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, U.S.A.
autor
• Department of Mathematics, Cyril and Methodius University, 1000 Skopje, Macedonia
autor
• Department of Mathematics, Alverno College, Milwaukee, WI 53215, U.S.A.
autor
• Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, U.S.A.