The number of (2,3)-sum-free subsets of {1,...,n}
Tomasz Schoen (2001)
Acta Arithmetica
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Tomasz Schoen (2001)
Acta Arithmetica
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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
Jan Mycielski (1958)
Fundamenta Mathematicae
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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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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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A. Kumar, P. K. Pathak (1976)
Colloquium Mathematicae
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Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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B. Tilson (1972)
Semigroup forum
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J. de Groot, T. Dekker (1954-1956)
Compositio 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...
Kenzi Satô (2003)
Fundamenta Mathematicae
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The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
Frank Levin, Benjamin Baumslag (1976)
Mathematische Zeitschrift
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F. Levin, G. Rosenberger, B. Baumslag (1993)
Mathematische Zeitschrift
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Đuro Kurepa (1987)
Publications de l'Institut Mathématique
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