2002•Journal of Sichuan UniversityRequires access

The Separation of Topological System

Shihua Li

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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 also study Domain theory on denotational semantics of computer programming languages by using the topological system.The author discussed some separations of Topological system from the view of general topology,and then showed the relation among them.

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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 also study Domain theory on denotational semantics of computer programming languages by using the topological system.The author discussed some separations of Topological system from the view of general topology,and then showed the relation among them.

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Available 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 also study Domain theory on denotational semantics of computer programming languages by using the topological system.The author discussed some separations of Topological system from the view of general topology,and then showed the relation among them.

Key concepts: Topology (electrical circuits), Topological space, Category of topological spaces, Zero-dimensional space, Space (punctuation), Mathematics, Topological vector space, Computer science

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