| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 389847 | Fuzzy Sets and Systems | 2011 | 13 Pages |
Abstract
Consider (L,*,1) be a commutative, strictly two-sided quantale with the underlying lattice L being meet-continuous. Two adjunctions, one is between limit spaces and stratified L-limit spaces and the other is between stratified L-limit spaces and stratified L-topological spaces, are established. The first adjunction can be viewed as an extension of Lowen's adjunction between the category of topological spaces and stratified [0,1]-topological spaces. The second is an extension of an adjunction between limit spaces and (stratified) L-topological spaces established in U. Höhle and T. Kubiak (Höhle–Kubiak, Semigroup Forum (2007)).
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