Generalized sum-free subsets.
Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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W. Klotz (1977)
Acta Arithmetica
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Suk, Andrew (2008)
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Pappalardi, Francesco (2003)
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H. Abbott, D. Hanson (1972)
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E. Cohen, Richard Robinson (1963)
Acta Arithmetica
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Kátai, Imre (2005)
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Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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Jean Berstel (1985)
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R. Z. Buzyakova, A. Chigogidze (2011)
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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
A. J. Kfoury (1988)
Banach Center Publications
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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Chung, Fan R.K., Goldwasser, John L. (1996)
The Electronic Journal of Combinatorics [electronic only]
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