Durch Relationen induzierte Topologien
Editorial
Ensembles singuliers associés aux espaces de Banach réticulés
À tout espace de Banach fonctionnel réticulé est associée une quasi-topologie. Avec une hypothèse de dénombrabilité convenable, cette notion généralise la topologie polonaise classique. Les ensembles singuliers sont les ensembles discrets, clairsemés etc. que l’on caractérise à l’aide des mesures qu’ils portent. Le théorème de Baire admet aussi une généralisation. Application est faite au modèle probabiliste et à la théorie du potentiel.
Epireflective subcategories of convergence spaces
Équivalences concernant la séparation de plusieurs cônes convexes
Erratum to “More on -closed sets in topological spaces” [Rev. Colomb. Mat. 41, No. 2, 355–369 (2007)].
Espaces d'Antoine et pseudo-topologies
Espaces d'Antoine et semi-espaces d'Antoine
Espacios pretopológicos.
Un espacio topológico es una estructura en la que cada punto posee un filtro de entornos y los entornos de un punto se relacionan con los de otros por el hecho de que haya un entorno que lo es de otros puntos vecinos, o sea por el hecho de que haya un sistema fundamental de entornos abiertos.Aquí se trata de estudiar qué subyace en una estructura en la que sólo se postula que en cada punto hay un filtro de entornos.
Extension of sequentially continuous mappings
Extensionable topological hulls and topological universe hulls inside the category of pseudotopological spaces
Extensions in the theory of lax algebras.
Fibrewise exponential laws in a quasitopos
Filter descriptive classes of Borel functions
We first prove that given any analytic filter ℱ on ω the set of all functions f on which can be represented as the pointwise limit relative to ℱ of some sequence of continuous functions (), is exactly the set of all Borel functions of class ξ for some countable ordinal ξ that we call the rank of ℱ. We discuss several structural properties of this rank. For example, we prove that any free Π⁰₄ filter is of rank 1.
Full embeddings with a given restriction
Functional separation of inductive limits and representation of presheaves by sections. Part IV: Representation of presheaves by sections
Functional separation of inductive limits and representation of presheaves by sections. Part III: Some special cases of separation of inductive limits of presheaves
Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves
Further new generalized topologies via mixed constructions due to Császár
The theory of generalized topologies was introduced by Á. Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á. Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á. Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called via mixed constructions based...
Fuzzy metrics and statistical metric spaces