On the existence of free subgroups in topological groups
Stanisław Balcerzyk, Jan Mycielski (1957)
Fundamenta Mathematicae
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Stanisław Balcerzyk, Jan Mycielski (1957)
Fundamenta Mathematicae
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Andrzej Mostowski (1961)
Fundamenta Mathematicae
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Jan Mycielski (1958)
Fundamenta Mathematicae
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Jan Mycielski (1958)
Fundamenta Mathematicae
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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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
A. J. Kfoury (1988)
Banach Center Publications
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P. A. Zalesskii (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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