Add to ORKGAbstract. In this paper, we consider two questions on absolute star-Lindelöf-ness and star-Lindelöfness: (1) Whether every Tychonoff star-Lindelöf space can be embedded into some Tychonoff absolutely star-Lindelöf space as a closed subspace or as a closed Gδ-subspace; (2) Characterize the Tychonoff star-Lindelöf spaces which can be embedded as regular closed subspaces into Tychonoff absolutely star-Lindelöf spaces. We proved that the answer to first question is YES in general. For the second question we give a complete solution. 1
summary:For a topological property $P$, we say that a space $X$ is star $P$ if for every open cover ...
summary:A topological space $X$ is said to be star Lindelöf if for any open cover $\mathcal U$ of $X...
[EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collectio...
summary:In this paper, we prove the following two statements: (1) There exists a discretely absolute...
Song Abstract. A space X is discretely absolutely star-Lindelöf if for every open cover U of X and ...
summary:A space $X$ is {\it discretely absolutely star-Lindelöf\/} if for every open cover $\Cal U$ ...
[EN] A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense...
summary:In this paper, we prove the following statements: (1) For every regular uncountable cardinal...
Abstract. If B is a compact space and B \ {pt} is Lindelöf then Bκ \ {−→pt} is star-Linedlöf for e...
The aim of this paper is to define and study the concept of semi generalized Lindelöf (sg − Lindelo...
Abstract. A space X is cs-starcompact if for every open cover U of X, there exists a convergent sequ...
For a topological property P, we say that a space X is star Pif for every open cover Uof the space X...
summary:In this paper, we prove the following statements: \item {(1)} There exists a Hausdorff Linde...
summary:In this paper, we prove the following statements: (1) For any cardinal $\kappa$, there exist...
A space X is monotonically star Lindelöf if one assign to for each open cover U a subspace s(U) ⊆ X,...
summary:For a topological property $P$, we say that a space $X$ is star $P$ if for every open cover ...
summary:A topological space $X$ is said to be star Lindelöf if for any open cover $\mathcal U$ of $X...
[EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collectio...
summary:In this paper, we prove the following two statements: (1) There exists a discretely absolute...
Song Abstract. A space X is discretely absolutely star-Lindelöf if for every open cover U of X and ...
summary:A space $X$ is {\it discretely absolutely star-Lindelöf\/} if for every open cover $\Cal U$ ...
[EN] A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense...
summary:In this paper, we prove the following statements: (1) For every regular uncountable cardinal...
Abstract. If B is a compact space and B \ {pt} is Lindelöf then Bκ \ {−→pt} is star-Linedlöf for e...
The aim of this paper is to define and study the concept of semi generalized Lindelöf (sg − Lindelo...
Abstract. A space X is cs-starcompact if for every open cover U of X, there exists a convergent sequ...
For a topological property P, we say that a space X is star Pif for every open cover Uof the space X...
summary:In this paper, we prove the following statements: \item {(1)} There exists a Hausdorff Linde...
summary:In this paper, we prove the following statements: (1) For any cardinal $\kappa$, there exist...
A space X is monotonically star Lindelöf if one assign to for each open cover U a subspace s(U) ⊆ X,...
summary:For a topological property $P$, we say that a space $X$ is star $P$ if for every open cover ...
summary:A topological space $X$ is said to be star Lindelöf if for any open cover $\mathcal U$ of $X...
[EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collectio...