Fuzzy -closure operator on fuzzy topological spaces.
-closed sets and a new separation axiom in Alexandroff spaces
In this paper we introduce the concept of -closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called -axiom in the Alexandroff spaces with the help of -closed sets and investigate some of its consequences.
-metrizable spaces and the images of semi-metric spaces
In this paper, we prove that a space is a -metrizable space if and only if is a weak-open, and -image of a semi-metric space, if and only if is a strong sequence-covering, quotient, and -image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
Galois spaces, representable spaces and strongly locally homogeneous spaces
Gamma-compactification of measurable spaces.
Generalization of some fuzzy separation axioms to ditopological texture spaces.
Generalizations of Ascoli's theorems
Generalized analytic spaces, completeness and fragmentability
Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolík, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.
Generalized dyadic spaces
Generalized fuzzy compactness in -topological spaces.
Generalized Helly spaces, continuity of monotone functions, and metrizing maps
Given an ordered metric space (in particular, a Banach lattice) E, the generalized Helly space H(E) is the set of all increasing functions from the interval [0,1] to E considered with the topology of pointwise convergence, and E is said to have property (λ) if each of these functions has only countably many points of discontinuity. The main objective of the paper is to study those ordered metric spaces C(K,E), where K is a compact space, that have property (λ). In doing so, the guiding idea comes...
Generalized linearly ordered spaces and weak pseudocompactness
A space is truly weakly pseudocompact if is either weakly pseudocompact or Lindelöf locally compact. We prove that if is a generalized linearly ordered space, and either (i) each proper open interval in is truly weakly pseudocompact, or (ii) is paracompact and each point of has a truly weakly pseudocompact neighborhood, then is truly weakly pseudocompact. We also answer a question about weakly pseudocompact spaces posed by F. Eckertson in [Eck].
Generalized totally disconnectedness.
Generalized Urysohn Spaces.
Generation of coreflections in categories
Geometric and higher order logic in terms of abstract Stone duality.
Geometry of compactifications of locally symmetric spaces
For a locally symmetric space , we define a compactification which we call the “geodesic compactification”. It is constructed by adding limit points in to certain geodesics in . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give for locally symmetric spaces. Moreover, has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Green's L-relation for semigroups and compactifications.
Green's L-relation for semigroups and compactifications. (Short Communication).