On weak -metric
On weak-open -images of metric spaces
In this paper, we give some characterizations of metric spaces under weak-open -mappings, which prove that a space is -developable (or Cauchy) if and only if it is a weak-open -image of a metric space.
On --images of metric spaces.
Packing measures on ultrametric spaces
Probabilistic approach spaces
We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function. We give a suitable axiom scheme and show that the resulting category is isomorphic to the category of left-continuous probabilistic topological convergence spaces and hence is a topological category. We further show that the category of Lowen's approach spaces is isomorphic to...
Pro-reflections and pro-factorizations
Recouvrements, derivation des mesures et dimensions.
Let X be a set with a symmetric kernel d (not necessarily a distance). The space (X,d) is said to have the weak (resp. strong) covering property of degree ≤ m [briefly prf(m) (resp. prF(m))], if, for each family B of closed balls of (X,d) with radii in a decreasing sequence (resp. with bounded radii), there is a subfamily, covering the center of each element of B, and of order ≤ m (resp. splitting into m disjoint families). Since Besicovitch, covering properties are known to be the main tool for...
Regular spaces and relations
Remarks on a game of Choquet
Remarks on sequence-covering maps
In this paper, we prove that each sequence-covering and boundary-compact map on -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [Lin.F.C.and.Lin.S-2011].
Representations of commutative semigroups by products of metric -dimensional spaces
-metrizable spaces and related matters.
Schälbare Cohen-Macauley-Komplexe und ihre Parametrisierung.
Semi -continuity in intuitionistic fuzzy topological spaces.
Sequential characterizations of metrizability
Spaces whose only finite-sheeted covers are themselves. I.
Spaces with -locally countable weak-bases
In this paper, spaces with -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or -first countable spaces with -locally countable -networks).
Spaces with -weakly hereditarily closure-preserving sn-networks.
State spaces and dipaths up to dihomotopy.
Structures quasi-métriques (suite)