On the existence of free subgroups in topological groups
Stanisław Balcerzyk, Jan Mycielski (1957)
Fundamenta Mathematicae
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Displaying similar documents to “Free subgroups of the orthogonal group”
On the existence of free subgroups in topological groups
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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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