Topological degree for ultimately compact multivalued vector fields in topological vector spaces
Lj. Gajić (1987)
Matematički Vesnik
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Lj. Gajić (1987)
Matematički Vesnik
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Tsoy-Wo Ma (1972)
Fundamenta Mathematicae
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M. Furi, M. Martelli (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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W. Więsław (1978)
Colloquium Mathematicae
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H. Ben-El-Mechaiekh (1989)
Extracta Mathematicae
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Grzegorz Gabor (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Introduction Many authors have developed the topological degree theory and the fixed point theory for set-valued maps using homological techniques (see for example [19, 28, 27, 16]). Lately, an elementary technique of single-valued approximation (on the graph) (see [11, 1, 13, 5, 9, 2, 6, 7]) has been used in constructing the fixed point index for set-valued maps with compact values (see [21, 20, 4]). In [20, 4] authors consider set-valued...
Agarwal, Ravi P., O'Regan, Donal (2003)
Abstract and Applied 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...
Gervasio G. Bastos (1978)
Manuscripta mathematica
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W. Więsław (1974)
Colloquium Mathematicae
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G. Leloup (2003)
Collectanea Mathematica
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We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.
J. E. Marcos (2003)
Fundamenta Mathematicae
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Włodarczyk, Kazimierz, Klim, Dorota (2003)
Abstract and Applied Analysis
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Park, Sehie (1997)
International Journal of Mathematics and Mathematical Sciences
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