ScholarLens Back to search
2009•Shuxue de shijian yu renshiRequires access

The Local Connectedness Relative to a Subbase for the Topology

Yanqin Liu

Open publisher page 0 citations

Abstract

Covering methods are widely used in rough set theory.The interior and the closure of a subset relative to a subbase for the topology are introduced to study the relationships between the rough sets and the topological space.We introduce and study local connectedness relative to a subbase for the topology on the basis of connectedness relative to a subbase,and some properties are also discussed.Which generalize local connectedness in a general topology.

About this research paper

What this paper is about

Covering methods are widely used in rough set theory.The interior and the closure of a subset relative to a subbase for the topology are introduced to study the relationships between the rough sets and the topological space.We introduce and study local connectedness relative to a subbase for the topology on the basis of connectedness relative to a subbase,and some properties are also discussed.Which generalize local connectedness in a general topology.

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

Covering methods are widely used in rough set theory.The interior and the closure of a subset relative to a subbase for the topology are introduced to study the relationships between the rough sets and the topological space.We introduce and study local connectedness relative to a subbase for the topology on the basis of connectedness relative to a subbase,and some properties are also discussed.Which generalize local connectedness in a general topology.

Key concepts: Subbase, Social connectedness, Topology (electrical circuits), General topology, Mathematics, Closure (psychology), Topological space, Extension topology

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Local Connectedness Relative to a Subbase for the Topology — Research Paper | ScholarLens