Geodesic
Continuum many tent map inverse limits with homeomorphic postcritical $\omega $-limit sets
Chris Good1 ; Brian E. Raines2
1 School of Mathematics and Statistics University of Birmingham Birmingham, B15 2TT, UK
2 Department of Mathematics Baylor University Waco, TX 76798-7328, U.S.A.
Fundamenta Mathematicae, Tome 191 (2006) no. 1, pp. 1-21.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm191-1-1
Keywords: demonstrate set topologically distinct inverse limit spaces tent maps cantor set its postcritical omega limit set has cardinality continuum set folding points points which space homeomorphic product zero dimensional set arc each these spaces cantor set

Chris Good 1 ; Brian E. Raines 2

1 School of Mathematics and Statistics University of Birmingham Birmingham, B15 2TT, UK
2 Department of Mathematics Baylor University Waco, TX 76798-7328, U.S.A. 
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Chris Good; Brian E. Raines. Continuum many tent map inverse limits with
 homeomorphic postcritical $\omega $-limit sets. Fundamenta Mathematicae, Tome 191 (2006) no. 1, pp. 1-21. doi : 10.4064/fm191-1-1. http://geodesic.mathdoc.fr/articles/10.4064/fm191-1-1/

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