Cosheaf Theory and Overconvergent Verdier Duality for Rigid Analytic Spaces

Abstract

This paper develops aspects of cosheaf theory on rigid analytic spaces, and demonstrates a sheaf-cosheaf Verdier duality equivalence theorem for overconvergent sheaves on separated, paracompact spaces, analogous to Jacob Lurie's treatment of Verdier duality for locally compact, Hausdorff topological spaces.