Wecken type problems for self-maps of the Klein bottle.
Gonçalves, D.L., Kelly, M.R. (2006)
Fixed Point Theory and Applications [electronic only]
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Gonçalves, D.L., Kelly, M.R. (2006)
Fixed Point Theory and Applications [electronic only]
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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
Kim, Seung Won, Brown, Robert F., Ericksen, Adam, Khamsemanan, Nirattaya, Merrill, Keith (2009)
Fixed Point Theory and Applications [electronic only]
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Wong, Peter (2004)
Fixed Point Theory and Applications [electronic only]
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Evelyn Hart (1999)
Banach Center Publications
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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A. J. Kfoury (1988)
Banach Center Publications
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Rugang Ye (1991)
Mathematische Zeitschrift
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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...
Jerzy Jezierski (1999)
Banach Center Publications
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We give an outline of the Nielsen coincidence theory emphasizing differences between the oriented and non-oriented cases.
Chung, Fan R.K., Goldwasser, John L. (1996)
The Electronic Journal of Combinatorics [electronic only]
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J. de Groot, T. Dekker (1954-1956)
Compositio Mathematica
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