ScholarLens Back to search
2008•Jiangxi kexueRequires access

On some Characterizations of Strongly Base-paracompact Spaces

Huang Hao-ran

Open publisher page 0 citations

Abstract

In this paper,some strongly base-paracompact space's equivalent characterizations are obtained:If X is regular space,the following are equivalent:(1)X is strongly base-paracompact;(2)there is an open basis B for X with |B|=ω(X) such that every open cover of X has a star-finite refinement by the closure of members of B;(3)there is a open basis B for X with |B|=ω(X) such that every open cover of X has a star-countable open refinement by members of B.

About this research paper

What this paper is about

In this paper,some strongly base-paracompact space's equivalent characterizations are obtained:If X is regular space,the following are equivalent:(1)X is strongly base-paracompact;(2)there is an open basis B for X with |B|=ω(X) such that every open cover of X has a star-finite refinement by the closure of members of B;(3)there is a open basis B for X with |B|=ω(X) such that every open cover of X has a star-countable open refinement by members of B.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper,some strongly base-paracompact space's equivalent characterizations are obtained:If X is regular space,the following are equivalent:(1)X is strongly base-paracompact;(2)there is an open basis B for X with |B|=ω(X) such that every open cover of X has a star-finite refinement by the closure of members of B;(3)there is a open basis B for X with |B|=ω(X) such that every open cover of X has a star-countable open refinement by members of B.

Key concepts: Paracompact space, Countable set, Second-countable space, Base (topology), Cover (algebra), Mathematics, Closure (psychology), Basis (linear algebra)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On some Characterizations of Strongly Base-paracompact Spaces — Research Paper | ScholarLens