Remarks on discretely absolutely star-Lindelöf spaces

Title:

Remarks on discretely absolutely star-Lindelöf spaces

Creator:

Song, Yan-Kui

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f7897ef2-6933-42bc-bfa3-31ba3c5ef203
uuid:f7897ef2-6933-42bc-bfa3-31ba3c5ef203

Subject:

countably compact space, star-Lindelöf space, absolutely star-Lindelöf space, and discretely absolutely star-Lindelöf

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we prove the following statements: \item {(1)} There exists a Hausdorff Lindelöf space $X$ such that the Alexandroff duplicate $A(X)$ of $X$ is not discretely absolutely star-Lindelöf. \item {(2)} If $X$ is a regular Lindelöf space, then $A(X)$ is discretely absolutely star-Lindelöf. \item {(3)} If $X$ is a normal discretely star-Lindelöf space with $e(X)< \omega _1$, then $A(X)$ is discretely absolutely star-Lindelöf.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

823-831

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:3

Harvested from:

CDK

Metadata only:

false