Erratum: ``A note on mappings of Baire spaces' (Math. Slovaca 27 (1977), no. 2, 173--176)
Erratum : Compactifications de Bohr d'anneaux et de modules
Erweiterungen topologischer Räume.
Espaces de mesures et compactologies
Espaces de mesures et compactologies
Espaces non verifiant le second axiome de denombrabilité.
Espaces -complètement réguliers
Espacios separablemente conexos
Espais essencialment TDD, TF, TY, TYS i TL.
In this paper, by means of the essential derived operator, the classes of topological spaces whose T0 identification spaces are TDD, TF, TY or TL are characterized. This classes are related with the classes of essentially-T1-spaces (R0 spaces), essentially-TD-spaces and essentially-TUD-spaces, already known.In this way, we introduce several axioms more general than the axioms between T1 and T0 defined by Aull and Thron, all of them weaker than R0.
Essentially Complete T...-Spaces.
Essentially Complete T...-Spaces II. A Lattice-Theoretic Approach.
Euclidean Convexity Cannot be Compactified.
Every compact sequential space is Fréchet
Every graph is a self-similar set.
Every weakly initially -compact topological space is pcap
The statement in the title solves a problem raised by T. Retta. We also present a variation of the result in terms of -compactness.
Examples of sequential topological groups under the continuum hypothesis
Using CH we construct examples of sequential topological groups: 1. a pair of countable Fréchet topological groups whose product is sequential but is not Fréchet, 2. a countable Fréchet and topological group which contains no copy of the rationals.
Examples relating to mesocompact and sequentially mesocompact spaces
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.
Expandability and its generalizations
Exponentiable morphisms: Posets, spaces, locales, and Grothendieck toposes.