Fixed-point free maps of Euclidean spaces
R. Z. Buzyakova ; A. Chigogidze
Fundamenta Mathematicae, Tome 215 (2011), p. 1-16 / Harvested from The Polish Digital Mathematics Library
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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

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283073 
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R. Z. Buzyakova; A. Chigogidze. Fixed-point free maps of Euclidean spaces. Fundamenta Mathematicae, Tome 215 (2011) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm212-1-1/