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	Trends in Mathematics
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

Abstract

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