2008Mohu xitong yu shuxueRequires access

Semi-Scott Topology and Semi-Lawson Topology on Semicontinuous Lattices

Xiaoquan Xu

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Abstract

In this paper, the semi-Scott topology and semi-Lawson topology on complete lattices are introduced, and some basic properties of the semi-Scott topology and semi-Lawson topology on semicontinuous lattices and strongly continuous lattices are investigated.

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What this paper is about

In this paper, the semi-Scott topology and semi-Lawson topology on complete lattices are introduced, and some basic properties of the semi-Scott topology and semi-Lawson topology on semicontinuous lattices and strongly continuous lattices are investigated.

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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

In this paper, the semi-Scott topology and semi-Lawson topology on complete lattices are introduced, and some basic properties of the semi-Scott topology and semi-Lawson topology on semicontinuous lattices and strongly continuous lattices are investigated.

Key concepts: Topology (electrical circuits), Mathematics, General topology, Initial topology, Extension topology, Weak topology (polar topology), Product topology, Comparison of topologies

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