Add to ORKGGeneralizations of normality, called (weakly) (functionally) θ-normal spaces, are introduced and studied. This leads to decompositions of normality. It turns out that every paracompact space is θ-normal. Moreover, every Lindelof space as well as every almost compact space is weakly θ-normal. Preservation of θ-normality and its variants under mappings is studied. This in turn strengthens several known results pertaining to normality
AbstractThe behavior of the property of weak normality with respect to topological products is exami...
summary:Arhangel'ski\u{\i} defines in [Topology Appl. 70 (1996), 87--99], as one of various notions ...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
Generalizations of normality, called (weakly) (functionally) θ-normal spaces, are introduced and stu...
[EN] Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and...
[EN] Characterizations of functionally θ-normal spaces including the one that of Urysohn’s type lemm...
Abstract. Generalizations of normality, called (weakly) (function-ally) -normal spaces, are introduc...
AbstractA regular topological space is called κ-normal if any two disjoint κ-closed subsets in it ar...
summary:A new class of spaces which contains the class of all normal spaces is defined and its chara...
summary:A new class of spaces which contains the class of all normal spaces is defined and its chara...
AbstractAccording to Mack a space is countably paracompact if and only if its product with [0,1] is ...
AbstractA regular topological space is called κ-normal if any two disjoint κ-closed subsets in it ar...
[EN] $(\lambda, \mu)$-regularity and $(\lambda, \mu)$-normality are defined for generalized topologi...
The theory of normal spaces is treated in this paper. In section 1 we define a new type of mappings ...
summary:Arhangel'ski\u{\i} defines in [Topology Appl. 70 (1996), 87--99], as one of various notions ...
AbstractThe behavior of the property of weak normality with respect to topological products is exami...
summary:Arhangel'ski\u{\i} defines in [Topology Appl. 70 (1996), 87--99], as one of various notions ...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
Generalizations of normality, called (weakly) (functionally) θ-normal spaces, are introduced and stu...
[EN] Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and...
[EN] Characterizations of functionally θ-normal spaces including the one that of Urysohn’s type lemm...
Abstract. Generalizations of normality, called (weakly) (function-ally) -normal spaces, are introduc...
AbstractA regular topological space is called κ-normal if any two disjoint κ-closed subsets in it ar...
summary:A new class of spaces which contains the class of all normal spaces is defined and its chara...
summary:A new class of spaces which contains the class of all normal spaces is defined and its chara...
AbstractAccording to Mack a space is countably paracompact if and only if its product with [0,1] is ...
AbstractA regular topological space is called κ-normal if any two disjoint κ-closed subsets in it ar...
[EN] $(\lambda, \mu)$-regularity and $(\lambda, \mu)$-normality are defined for generalized topologi...
The theory of normal spaces is treated in this paper. In section 1 we define a new type of mappings ...
summary:Arhangel'ski\u{\i} defines in [Topology Appl. 70 (1996), 87--99], as one of various notions ...
AbstractThe behavior of the property of weak normality with respect to topological products is exami...
summary:Arhangel'ski\u{\i} defines in [Topology Appl. 70 (1996), 87--99], as one of various notions ...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...