### On the transformers of derivatives

M. Laczkovich, G. Petruska (1978)

Fundamenta Mathematicae

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M. Laczkovich, G. Petruska (1978)

Fundamenta Mathematicae

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K. Sieklucki (1960)

Fundamenta Mathematicae

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F. Filipczak (1980)

Fundamenta Mathematicae

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Sarah Holte (1995)

Colloquium Mathematicae

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In this paper we address the following question due to Marcy Barge: For what f:I → I is it the case that the inverse limit of I with single bonding map f can be embedded in the plane so that the shift homeomorphism $\widehat{f}$ extends to a diffeomorphism ([BB, Problem 1.5], [BK, Problem 3])? This question could also be phrased as follows: Given a map f:I → I, find a diffeomorphism $F:{\mathbb{R}}^{2}\to {\mathbb{R}}^{2}$ so that F restricted to its full attracting set, ${\bigcap}_{k\ge 0}{F}^{k}\left({\mathbb{R}}^{2}\right)$, is topologically conjugate to $\widehat{f}:(I,f)\to (I,f)$. In this situation, we say that...

Frank Mantlik (1991)

Studia Mathematica

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N. Riviere, Y. Sagher (1966)

Studia Mathematica

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Harris Shultz (1972)

Studia Mathematica

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M. Chakrabarty (1971)

Fundamenta Mathematicae

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K. Krzyżewski (1962)

Colloquium Mathematicae

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Piotr Minc (1980)

Fundamenta Mathematicae

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