2008•Journal of Shandong UniversityRequires access

Induced L-smooth topological space

Meng Guang-wu

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Abstract

The concepts of L-fuzzifying topological space and generated L-smooth topological space were introduced,the connection between(X,τ) and its corresponding generated space(LX,ω(τ)) was studyed.Also,the properties of operators ω and the concepts of induced L-smooth topological space,weakly induced L-smooth topological space and stratified L-smooth topological space were given.

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What this paper is about

The concepts of L-fuzzifying topological space and generated L-smooth topological space were introduced,the connection between(X,τ) and its corresponding generated space(LX,ω(τ)) was studyed.Also,the properties of operators ω and the concepts of induced L-smooth topological space,weakly induced L-smooth topological space and stratified L-smooth topological space were given.

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Available abstract

The concepts of L-fuzzifying topological space and generated L-smooth topological space were introduced,the connection between(X,τ) and its corresponding generated space(LX,ω(τ)) was studyed.Also,the properties of operators ω and the concepts of induced L-smooth topological space,weakly induced L-smooth topological space and stratified L-smooth topological space were given.

Key concepts: Zero-dimensional space, Space (punctuation), Topological space, Topology (electrical circuits), Connected space, Mathematics, Topological vector space, Connection (principal bundle)

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