Minimal nonhomogeneous continua

• Autorzy: Henk Bruin , Sergiǐ Kolyada , L'ubomír Snoha
• Języki publikacji: EN

Abstrakty

EN

We show that there are (1) nonhomogeneous metric continua that admit minimal noninvertible maps but have the fixed point property for homeomorphisms, and (2) nonhomogeneous metric continua that admit both minimal noninvertible maps and minimal homeomorphisms. The former continua are constructed as quotient spaces of the torus or as subsets of the torus, the latter are constructed as subsets of the torus.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54H25: Fixed-point and coincidence theorems
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 1
• Strony: 123-132

Daty

wydano

2003

Twórcy

autor

Henk Bruin

• Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands

autor

Sergiǐ Kolyada

• Institute of Mathematics, Ukrainian Academy of Sciences, Tereshchenkivs'ka 3, 252601 Kiev, Ukraine

autor

L'ubomír Snoha

• Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia

Identyfikatory

DOI

10.4064/cm95-1-10