Maximum subsets of with no solutions to .
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The Electronic Journal of Combinatorics [electronic only]
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Chung, Fan R.K., Goldwasser, John L. (1996)
The Electronic Journal of Combinatorics [electronic only]
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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
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