Fixed point indices of equivariant maps and Möbius inversions.
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Katsuhiro Komiya (1988)
Inventiones mathematicae
Torres-Martínez, Juan Pablo (2006)
Fixed Point Theory and Applications [electronic only]
R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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
Bich, Philippe, Cornet, Bernard (2004)
Fixed Point Theory and Applications [electronic only]
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