Relations between nets and indexed filter bases
R. Bartle (1963)
Colloquium Mathematicae
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R. Bartle (1963)
Colloquium Mathematicae
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Brian L. Davis, Iwo Labuda (2007)
Mathematica Slovaca
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Roland Coghetto (2015)
Formalized Mathematics
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We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).
K. Boussaf, N. Maïnetti, M. Hemdaoui (2000)
Revista Matemática Complutense
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Let K be an algebraically closed field, complete for an ultra- metric absolute value, let D be an infinite subset of K and let H(D) be the set of analytic elements on D. We denote by Mult(H(D), U) the set of semi-norms Phi of the K-vector space H(D) which are continuous with respect to the topology of uniform convergence on D and which satisfy further Phi(f g)=Phi(f) Phi(g) whenever f,g elements of H(D) such that fg element of H(D). This set is provided with the topology of simple convergence....
Müller, Bernd
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Kamal Boussaf, Alain Escassut (1995)
Annales mathématiques Blaise Pascal
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