A weakly chainable uniquely arcwise connected continuum without the fixed point property

• Autorzy: Mirosław Sobolewski
• Języki publikacji: EN

Abstrakty

EN

A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 37C25: Fixed points, periodic points, fixed-point index theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 228
• Numer: 1
• Strony: 81-86

Daty

wydano

2015

Twórcy

autor

Mirosław Sobolewski

• Department of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm228-1-6