AbstractWe introduce a generalization of D-spaces, which we call linearly D-spaces. The following results are obtained for a T1-space X.–X is linearly Lindelöf if, and only if, X is a linearly D-space of countable extent.–X is linearly D provided that X is submetaLindelöf.–X is linearly D provided that X is the union of finitely many linearly D-subspaces.–X is compact provided that X is countably compact and X is the union of countably many linearly D-subspaces
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-...
summary:There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This...
AbstractWe consider the question of whether uncountable Lindelöf spaces have Lindelöf subspaces of s...
AbstractWe introduce a generalization of D-spaces, which we call linearly D-spaces. The following re...
AbstractIn this note, we comment on D-spaces, linearly D-spaces and transitively D-spaces. We show t...
AbstractWe introduce notions of nearly good relations and N-sticky modulo a relation as tools for pr...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
Abstract. We introduce notions of nearly good relations and N-sticky modulo a relation as tools for ...
AbstractWe show that every regular T1 submeta-Lindelöf space of cardinality ω1 is D under MA+¬CH, wh...
AbstractIt is shown that the space Cp(τω) is a D-space for any ordinal number τ, where τω={α⩽τ:cf(α)...
AbstractAssuming ⋄, we construct a T2 example of a hereditarily Lindelöf space of size ω1 which is n...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
AbstractA space X is Lindelöf-normal or L-normal if every Lindelöf closed subset of X has arbitraril...
AbstractIn this note, the concept of a linear neighborhood assignment is introduced. By discussing p...
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-...
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-...
summary:There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This...
AbstractWe consider the question of whether uncountable Lindelöf spaces have Lindelöf subspaces of s...
AbstractWe introduce a generalization of D-spaces, which we call linearly D-spaces. The following re...
AbstractIn this note, we comment on D-spaces, linearly D-spaces and transitively D-spaces. We show t...
AbstractWe introduce notions of nearly good relations and N-sticky modulo a relation as tools for pr...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
Abstract. We introduce notions of nearly good relations and N-sticky modulo a relation as tools for ...
AbstractWe show that every regular T1 submeta-Lindelöf space of cardinality ω1 is D under MA+¬CH, wh...
AbstractIt is shown that the space Cp(τω) is a D-space for any ordinal number τ, where τω={α⩽τ:cf(α)...
AbstractAssuming ⋄, we construct a T2 example of a hereditarily Lindelöf space of size ω1 which is n...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
AbstractA space X is Lindelöf-normal or L-normal if every Lindelöf closed subset of X has arbitraril...
AbstractIn this note, the concept of a linear neighborhood assignment is introduced. By discussing p...
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-...
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-...
summary:There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This...
AbstractWe consider the question of whether uncountable Lindelöf spaces have Lindelöf subspaces of s...
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