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Approximating entropy of maps of the interval

100%

Block L., Coven E. M.

Banach Center Publications

1989

tom 23

nr 1

237-241

On the classification of inverse limits of tent maps

81%

Block L., Jakimovik S., Kailhofer L., Keesling J.

Fundamenta Mathematicae

2005

tom 187

nr 2

171-192

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.

Ograniczanie wyników

1 Banach Center Publications

1 Fundamenta Mathematicae

2 Block L.

1 Coven E. M.

1 Jakimovik S.

1 Kailhofer L.

1 Keesling J.

1 2005

1 1989

Wyniki wyszukiwania

Approximating entropy of maps of the interval

On the classification of inverse limits of tent maps