Fixed-point free maps of Euclidean spaces

• Autorzy: R. Z. Buzyakova , A. Chigogidze
• Języki publikacji: EN

Abstrakty

EN

Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples

Kategorie tematyczne

• 58C30: Fixed point theorems on manifolds
• 54H25: Fixed-point and coincidence theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 212
• Numer: 1
• Strony: 1-16

Daty

wydano

2011

Twórcy

autor

R. Z. Buzyakova

• Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, U.S.A.

autor

A. Chigogidze

• Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, U.S.A.

Identyfikatory

DOI

10.4064/fm212-1-1