On $k$-spaces and $k_R$-spaces

Title:

On $k$-spaces and $k_R$-spaces

Creator:

Li, Jinjin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:94f30493-a474-4501-9b48-7beb520f7bbe
uuid:94f30493-a474-4501-9b48-7beb520f7bbe

Subject:

$k_R$-spaces, $k$-spaces, $k$-networks, $\sigma $-hereditarily closure-preserving collections, and point-countable collections

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this note we study the relation between $k_R$-spaces and $k$-spaces and prove that a $k_R$-space with a $\sigma $-hereditarily closure-preserving $k$-network consisting of compact subsets is a $k$-space, and that a $k_R$-space with a point-countable $k$-network consisting of compact subsets need not be a $k$-space.

Language:

English

Rights:

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

Coverage:

941-945

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:4

Harvested from:

CDK

Metadata only:

false