Induced L-smooth topological space
Meng Guang-wu
Abstract
Meng Guang-wu
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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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)