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A characterization of strong \(\mathcal{Q}\)-concave spaces. (English) Zbl 1465.52006

Summary: The concepts of strong \(\mathcal{Q}\)-concave structures and strong \(\mathcal{Q}\)-interior operators are proposed on quantale-valued setting. It is shown that the category of strong \(\mathcal{Q}\)-concave spaces is isomorphic to that of strong \(\mathcal{Q}\)-interior spaces.

MSC:

52A01 Axiomatic and generalized convexity
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
06A15 Galois correspondences, closure operators (in relation to ordered sets)
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