Fixed-point free maps of Euclidean spaces
R. Z. Buzyakova; A. Chigogidze
Fundamenta Mathematicae (2011)
- Volume: 212, Issue: 1, page 1-16
- ISSN: 0016-2736
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topR. Z. Buzyakova, and A. Chigogidze. "Fixed-point free maps of Euclidean spaces." Fundamenta Mathematicae 212.1 (2011): 1-16. <http://eudml.org/doc/283073>.
@article{R2011,
abstract = {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},
author = {R. Z. Buzyakova, A. Chigogidze},
journal = {Fundamenta Mathematicae},
keywords = {fixed-point free map; colorable map},
language = {eng},
number = {1},
pages = {1-16},
title = {Fixed-point free maps of Euclidean spaces},
url = {http://eudml.org/doc/283073},
volume = {212},
year = {2011},
}
TY - JOUR
AU - R. Z. Buzyakova
AU - A. Chigogidze
TI - Fixed-point free maps of Euclidean spaces
JO - Fundamenta Mathematicae
PY - 2011
VL - 212
IS - 1
SP - 1
EP - 16
AB - 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
LA - eng
KW - fixed-point free map; colorable map
UR - http://eudml.org/doc/283073
ER -
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