Convergence in Relational Structures.
Convergence of convex-concave saddle functions : applications to convex programming and mechanics
Convergence of sequences of real functions with respect to small systems
Convergence structures
Convergence Structures on Homeomorphism Groups.
Convergence with respect to -supported ideals
Convergences et relations compactantes. Application aux équilibres de Stackelberg
Convergences for the group of real numbers
Convergencia En Relacion.
Convergent Filter Bases
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).
Convergent sequences in
Convex half-spaces
Corrigendum to "Products of pseudoradial spaces".
Countable compactness and -limits
For , we say that is quasi -compact, if for every there is such that , where is the Stone-Čech extension of . In this context, a space is countably compact iff is quasi -compact. If is quasi -compact and is either finite or countable discrete in , then all powers of are countably compact. Assuming , we give an example of a countable subset and a quasi -compact space whose square is not countably compact, and show that in a model of A. Blass and S. Shelah every quasi...
Criterios De Convergencia Secuencial.
Decisive Convergence Spaces.
Die Limes-Uniformisierbarkeit der Limesräume.
Differentation under the integral sign and holomorphy.
Discrete n-tuples in Hausdorff spaces
We investigate the following three questions: Let n ∈ ℕ. For which Hausdorff spaces X is it true that whenever Γ is an arbitrary (respectively finite-to-one, respectively injective) function from ℕⁿ to X, there must exist an infinite subset M of ℕ such that Γ[Mⁿ] is discrete? Of course, if n = 1 the answer to all three questions is "all of them". For n ≥ 2 the answers to the second and third questions are the same; in the case n = 2 that answer is "those for which there are only finitely many points...
Double convergence and products of Fréchet spaces
The paper is devoted to convergence of double sequences and its application to products. In a convergence space we recognize three types of double convergences and points, respectively. We give examples and describe their structure and properties. We investigate the relationship between the topological and convergence closure product of two Fréchet spaces. In particular, we give a necessary and sufficient condition for the topological product of two compact Hausdorff Fréchet spaces to be a Fréchet...