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This paper develops aspects of cosheaf theory on rigid analytic spaces, anddemonstrates a sheaf-cosheaf Verdier duality equivalence theorem foroverconvergent sheaves on separated, paracompact spaces, analogous to JacobLurie's treatment of Verdier duality for locally compact, Hausdorff topologicalspaces.

Cosheaf Theory and Overconvergent Verdier Duality for Rigid Analytic Spaces