The Lindelf Property of Topological System
Hu Yang
Abstract
Hu Yang
Abstract
The topological system is the most widely studied object in topology at present.Topological space,spatialization of locale,fuzzy topological space and topological molecular lattice are its special cases.One can study Domain theory on denotation semantics of computer programming language by using the topological system.The paper discusses the Lindelf property of topological system,and obtains some theorems of topological system on Lindelf property.
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The topological system is the most widely studied object in topology at present.Topological space,spatialization of locale,fuzzy topological space and topological molecular lattice are its special cases.One can study Domain theory on denotation semantics of computer programming language by using the topological system.The paper discusses the Lindelf property of topological system,and obtains some theorems of topological system on Lindelf property.
Key concepts: Topological space, Topology (electrical circuits), Topological manifold, Property (philosophy), Zero-dimensional space, Category of topological spaces, Mathematics, Topological vector space