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2007•Advances in MathematicsRequires access

The Connectedness Relative to a Subbase for the Topology

Jinjin Li

Open publisher page 3 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 connectedness relative to a subbase for the topology,and obtain their some properties,which generalize connectedness in a general topology.

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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 connectedness relative to a subbase for the topology,and obtain their some properties,which generalize connectedness in a general topology.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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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 connectedness relative to a subbase for the topology,and obtain their some properties,which generalize connectedness in a general topology.

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

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