Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets

Christopher Good; BE Raines

doi:10.4064/fm191-1-1

Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets

Christopher Good, BE Raines

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical omega-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Fundamenta Mathematicae
Volume	191
Issue number	1
Early online date	1 Jan 2006
DOIs	https://doi.org/10.4064/fm191-1-1
Publication status	Published - 1 Jan 2006

Keywords

continuum
indecomposable
inverse limits
unimodal
attractor
invariant set

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10.4064/fm191-1-1

Cite this

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Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets

Abstract

Keywords

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