On free constructions.
Karl Strambach, Martin Funk (1991)
Manuscripta mathematica
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Karl Strambach, Martin Funk (1991)
Manuscripta mathematica
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Eng Tjioe Tan (1988)
Manuscripta mathematica
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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Antonio José Engler (1995)
Manuscripta mathematica
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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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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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B. Baumann (1991)
Manuscripta mathematica
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Jean Berstel (1985)
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Frank Levin, Benjamin Baumslag (1976)
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Karl Dilcher, Lutz G. Lucht (2006)
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F. Levin, G. Rosenberger, B. Baumslag (1993)
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B. Tilson (1972)
Semigroup forum
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Masakazu Yamagishi (1996)
Manuscripta mathematica
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Xavier Ros-Oton, Joaquim Serra (2019)
Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana
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Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results...
Jürgen Hurrelbrink (1978)
Manuscripta mathematica
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