On topological fields
W. Więsław (1974)
Colloquium Mathematicae
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W. Więsław (1974)
Colloquium Mathematicae
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Tsoy-Wo Ma
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CONTENTSIntroduction................................................................................................................................................. 5I. General properties of set-valued compact fields............................................................................. 61. Upper semicontinuous maps............................................................................................................. 62. Generalization of Dugundji's extension theorem...............................................................................
J. E. Marcos (2003)
Fundamenta Mathematicae
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Väth, Martin (2006)
Fixed Point Theory and Applications [electronic only]
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W. Więsław (1973)
Colloquium Mathematicae
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O'Regan, Donal (2006)
Journal of Applied Mathematics and Stochastic Analysis
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J. E. Marcos (2002)
Fundamenta Mathematicae
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We construct some locally unbounded topological fields having topologically nilpotent elements; this answers a question of Heine. The underlying fields are subfields of fields of formal power series. In particular, we get a locally unbounded topological field for which the set of topologically nilpotent elements is an open additive subgroup. We also exhibit a complete locally unbounded topological field which is a topological extension of the field of p-adic numbers; this topological...
Gajić, Ljiljana (1996)
Novi Sad Journal of Mathematics
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Robert Skiba (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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M. Furi, M. Martelli (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Aamri, M., el Moutawakil, D. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Wojciech Kryszewski
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SummaryThe theory of topological degree of set-valued maps determined by morphisms, i.e. maps with values which are continuous images of almost acyclic sets, is presented, together with some of its applications.In the first part, morphisms defined on finite-dimensional Euclidean manifolds are considered and the integer-valued degree is introduced by means of the Eilenberg-Montgomery-Górniewicz method based on the Vietoris-Begle-Sklyarenko theorem and using the approach of Dold in terms...