On some characterizations of the complex number field
W. Więsław (1972)
Colloquium Mathematicae
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Displaying similar documents to “When ℵ₁ many sets are contained in a countably generated σ-field”
On some characterizations of the complex number field
A necessary and sufficient condition for a vector field to be Killing.
Carlos Currás Bosch (1979)
Collectanea Mathematica
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An uncountable partition contained in the atomless σ-field
Radosław Drabiński (2011)
Colloquium Mathematicae
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This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.
Generalization of the Pfaff-Bilimovic method in the field theory.
Djordje Musicki (1962)
Publications de l'Institut Mathématique [Elektronische Ressource]
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-Luzin sets, nonatomic -fields and -independent sets
Edward Grzegorek (2007)
Acta Universitatis Carolinae. Mathematica et Physica
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Parametric form of an eight class field
Harvey Cohn, George Cooke (1976)
Acta Arithmetica
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Maxwell equations and direction of electromagnetic field.
Nizkii, R.Ya. (2005)
Journal of Mathematical Sciences (New York)
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Some Applications of the Renormalization Group to the Scalar Field Theories
Francesco Nicolò (1986)
Recherche Coopérative sur Programme n°25
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Non Linear Relativistic Field Equations
Giorgio Velo (1977)
Recherche Coopérative sur Programme n°25
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On ruled fields
Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
Some structural considerations on the theory of gravitational field.
Ikeda, Satoshi (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Triangulation in o-minimal fields with standard part map
Lou van den Dries, Jana Maříková (2010)
Fundamenta Mathematicae
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In answering questions of J. Maříková [Fund. Math. 209 (2010)] we prove a triangulation result that is of independent interest. In more detail, let R be an o-minimal field with a proper convex subring V, and let st: V → k be the corresponding standard part map. Under a mild assumption on (R,V) we show that a definable set X ⊆ Vⁿ admits a triangulation that induces a triangulation of its standard part st X ⊆ kⁿ.