On the Analytic Self-maps of Cantor Sets in the Line

Michael Hochman

doi:10.1007/978-3-031-80453-3_8

On the Analytic Self-maps of Cantor Sets in the Line

Michael Hochman^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We show that a topological Cantor set in R has at most countably many real-analytic, onto self-maps.

Original language	English
Title of host publication	Recent Developments in Fractals and Related Fields
Subtitle of host publication	Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	219-226
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-031-80453-3_8
State	Published - 2025

Publication series

Name	Trends in Mathematics
Volume	Part F319
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

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10.1007/978-3-031-80453-3_8

Cite this

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On the Analytic Self-maps of Cantor Sets in the Line. / Hochman, Michael.
Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022. Springer Science and Business Media Deutschland GmbH, 2025. p. 219-226 (Trends in Mathematics; Vol. Part F319).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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On the Analytic Self-maps of Cantor Sets in the Line

Abstract

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