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

• Autorzy: Chris Good , Brian E. Raines
• Języki publikacji: EN

Abstrakty

EN

We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54F15: Continua and generalizations
• 37B45: Continua theory in dynamics
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 191
• Numer: 1
• Strony: 1-21

Daty

wydano

2006

Twórcy

autor

Chris Good

• School of Mathematics and Statistics, University of Birmingham, Birmingham, B15 2TT, UK

autor

Brian E. Raines

• Department of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.

Identyfikatory

DOI

10.4064/fm191-1-1