2012Mohu xitong yu shuxueRequires access

ω-Tychonoff Separation in Lωspaces

Shui-Li Chen

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Abstract

In Lω-space,the concept of ω-Tychonoff separation axiom is introduced by means of ω-conrinuous L-valued Zadeh function.Characterizations of the concept are systematically studied.Some important properties of ω-Tychonoff separation are given,such as,ω-Tychonoff separation is hereditary,arbitrary multiplicative and topological invariant under(ω1,ω2)-homeomorphic L-valued Zadeh function.

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In Lω-space,the concept of ω-Tychonoff separation axiom is introduced by means of ω-conrinuous L-valued Zadeh function.Characterizations of the concept are systematically studied.Some important properties of ω-Tychonoff separation are given,such as,ω-Tychonoff separation is hereditary,arbitrary multiplicative and topological invariant under(ω1,ω2)-homeomorphic L-valued Zadeh function.

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Available abstract

In Lω-space,the concept of ω-Tychonoff separation axiom is introduced by means of ω-conrinuous L-valued Zadeh function.Characterizations of the concept are systematically studied.Some important properties of ω-Tychonoff separation are given,such as,ω-Tychonoff separation is hereditary,arbitrary multiplicative and topological invariant under(ω1,ω2)-homeomorphic L-valued Zadeh function.

Key concepts: Separation axiom, Tychonoff space, Mathematics, Axiom, Multiplicative function, Topological space, Pure mathematics, Discrete mathematics

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