Sum-free sets of integers
L. Moser, H. Abbott (1966)
Acta Arithmetica
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L. Moser, H. Abbott (1966)
Acta Arithmetica
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Kátai, Imre (2005)
Mathematica Pannonica
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Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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Pappalardi, Francesco (2003)
The New York Journal of Mathematics [electronic only]
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A. J. Kfoury (1988)
Banach Center Publications
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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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
Calkin, Neil J., Finch, Steven R. (1996)
Experimental Mathematics
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Xiangneng Zeng, Pingzhi Yuan (2011)
Acta Arithmetica
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Castro-Jiménez, F.J., Ucha-Enríquez, J.M. (2004)
Experimental Mathematics
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Broughan, Kevin A. (2002)
Integers
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Pär Kurlberg, Jeffrey C. Lagarias, Carl Pomerance (2012)
Acta Arithmetica
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Chung, Fan R.K., Goldwasser, John L. (1996)
The Electronic Journal of Combinatorics [electronic only]
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