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1

On the classification of inverse limits of tent maps

100%

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

Fundamenta Mathematicae

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2005

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tom 187

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nr 2

171-192

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.

2

An example concerning the Whitehead Theorem in shape theory

99%

Draper J., Keesling J.

Fundamenta Mathematicae

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1976

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tom 92

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nr 3

255-259

3

On the Whitehead Theorem in shape theory

74%

Keesling J.

Fundamenta Mathematicae

|

1976

|

tom 92

|

nr 3

247-253

4

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Closed mappings and local dimension

74%

Keesling J.

Colloquium Mathematicum

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1970

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tom 21

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nr 1

75-79

5

Closed mappings which lower dimension

74%

Keesling J.

Colloquium Mathematicum

|

1969

|

tom 20

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nr 2

237-241

Ograniczanie wyników

3 Fundamenta Mathematicae

2 Colloquium Mathematicum

5 Keesling J.

1 Block L.

1 Draper J.

1 Jakimovik S.

1 Kailhofer L.

1 2005

2 1976

1 1970

1 1969

On the classification of inverse limits of tent maps

An example concerning the Whitehead Theorem in shape theory

On the Whitehead Theorem in shape theory

Closed mappings and local dimension

Closed mappings which lower dimension