S_L-closure spaces
Bo Tao
Abstract
Bo Tao
Abstract
The concepts of S_L-closure space is presented. It is a generalization of S-closure operator in LF topological space. We study the convergence of it ,introduce the S_L-continuous generalize order homomorphisms and get its properties and characters. Furthermore, the category S_L-CLOSURE is established by objects S_L-closure and homomorphisms S_L-continous mapping.
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The concepts of S_L-closure space is presented. It is a generalization of S-closure operator in LF topological space. We study the convergence of it ,introduce the S_L-continuous generalize order homomorphisms and get its properties and characters. Furthermore, the category S_L-CLOSURE is established by objects S_L-closure and homomorphisms S_L-continous mapping.
Key concepts: Closure (psychology), Closure operator, Homomorphism, Generalization, Mathematics, Space (punctuation), Pure mathematics, Convergence (economics)