-categories
Searching for more absolute CR-epic spaces.
Semiconvex compacta
We define and investigate a generalization of the notion of convex compacta. Namely, for semiconvex combination in a semiconvex compactum we allow the existence of non-trivial loops connecting a point with itself. It is proved that any semiconvex compactum contains two non-empty convex compacta, the center and the weak center. The center is the largest compactum such that semiconvex combination induces a convex structure on it. The convex structure on the weak center does not necessarily coincide...
Sequential convergences on Boolean algebras defined by systems of maximal filters
We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.
Several extremal coreflective classes in uniform spaces
Small-fibred semitopological functors without small-fibred initial completions
Sobriety and localic compactness in categories of -bitopological spaces.
Some further aspects of G. Preuss' theory of E-connected spaces
Some properties of the functor .
Some relations between shape constructions
Some remarks on preservation of topological products
Space structures, their theory and application. II.
Spaced spaces
Strongly sequential spaces.
Strongly sequential spaces
The problem of Y. Tanaka [10] of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.
Strutture di convergenza per filtri
Subspaces in abstract Stone duality.
Subspaces of pseudoradial spaces
Sur la catégorie des applications quasi-continues
Sur la classe des morphismes propres dans la catégorie des espaces de convergence