## 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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