Hereditarily indecomposable inverse limits of graphs

• Autorzy: K. Kawamura , H. M. Tuncali , E. D. Tymchatyn
• Języki publikacji: EN

Abstrakty

EN

We prove the following theorem: Let G be a compact connected graph and let f: G → G be a piecewise linear surjection which satisfies the following condition: for each nondegenerate subcontinuum A of G, there is a positive integer n such that fⁿ(A) = G. Then, for each ε > 0, there is a map $f_{ε}: G → G$ which is ε-close to f such that the inverse limit $(G,f_{ε})$ is hereditarily indecomposable.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54F15: Continua and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 185
• Numer: 3
• Strony: 195-210

Daty

wydano

2005

Twórcy

autor

K. Kawamura

• Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

autor

H. M. Tuncali

• Faculty of Arts and Science, Nipissing University, 100 College Drive, Box 5002, North Bay, Ontario, Canada P1B 8L7

autor

E. D. Tymchatyn

• Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6

Identyfikatory

DOI

10.4064/fm185-3-1