Inverse limits of tentlike maps on trees

• Autorzy: Stewart Baldwin
• Języki publikacji: EN

Abstrakty

EN

We investigate generalizations of Ingram's Conjecture involving maps on trees. We show that for a class of tentlike maps on the k-star with periodic critical orbit, different maps in the class have distinct inverse limit spaces. We do this by showing that such maps satisfy the conclusion of the Pseudo-isotopy Conjecture, i.e., if h is a homeomorphism of the inverse limit space, then there is an integer N such that h and σ̂^N switch composants in the same way, where σ̂ is the standard shift map of the inverse limit space.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 37B10: Symbolic dynamics
• 54F65: Topological characterizations of particular spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 207
• Numer: 3
• Strony: 211-254

Daty

wydano

2010

Twórcy

autor

Stewart Baldwin

• Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5310, U.S.A.

Identyfikatory

DOI

10.4064/fm207-3-2