Browsing by Author "Prelli, L."
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- Poincaré : Verdier duality in o-minimal structuresPublication . Edmundo, Mário Jorge; Prelli, L.Here we prove a Poincaré - Verdier duality theorem for the ominimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure.
- The universal covering map in o-minimal expansions of groupsPublication . Edmundo, Mário; Eleftheriou, P. E.; Prelli, L.In this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.