Semi-Scott Topology and Semi-Lawson Topology on Semicontinuous Lattices
Xiaoquan Xu
Abstract
Xiaoquan Xu
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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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