AbstractWe show that the following statement is independent of and consistent with the usual axioms of set theory: If X is a hereditarily normal compact space, in which every regular closed set is a Gδ, then in X every closed set is a Gδ
AbstractIt is proved that if all Fσ-sets in the product X × Y are δ-normal, then either X is normal ...
If X is a completely regular space, first we characterize those spaces CbX whose compact sets are me...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
In this paper we introduce a new generalizations of δ -closed and δ-open sets. Using these sets, we...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is Lindelöf-normal or L-normal if every Lindelöf closed subset of X has arbitraril...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
Must a countably compact, perfect, regular topological space be compact? It has been known for some ...
Must a countably compact, perfect, regular topological space be compact? It has been known for some ...
In this paper the notion of μνg-closed sets and certain characterizations of such sets have been giv...
summary:One of the most celebrated results in the theory of hyperspaces says that if the Vietoris to...
AbstractLet S be the class of all spaces, each of which is homeomorphic to a stationary subset of a ...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
AbstractIt is proved that if all Fσ-sets in the product X × Y are δ-normal, then either X is normal ...
If X is a completely regular space, first we characterize those spaces CbX whose compact sets are me...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
In this paper we introduce a new generalizations of δ -closed and δ-open sets. Using these sets, we...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is Lindelöf-normal or L-normal if every Lindelöf closed subset of X has arbitraril...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
Must a countably compact, perfect, regular topological space be compact? It has been known for some ...
Must a countably compact, perfect, regular topological space be compact? It has been known for some ...
In this paper the notion of μνg-closed sets and certain characterizations of such sets have been giv...
summary:One of the most celebrated results in the theory of hyperspaces says that if the Vietoris to...
AbstractLet S be the class of all spaces, each of which is homeomorphic to a stationary subset of a ...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
AbstractIt is proved that if all Fσ-sets in the product X × Y are δ-normal, then either X is normal ...
If X is a completely regular space, first we characterize those spaces CbX whose compact sets are me...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...