Relative normalizing extensions.
Relative subanalytic sheaves
Given a real analytic manifold Y, denote by the associated subanalytic site. Now consider a product Y = X × S. We construct the endofunctor on the category of sheaves on and study its properties. Roughly speaking, is a sheaf on . As an application, one can now define sheaves of functions on Y which are tempered or Whitney in the relative sense, that is, only with respect to X.
Representation of certain classes of distributive lattices by sections of sheaves.
Representation of sheaves of metric lattices by sections
Representation of unramified functors. Applications
Representations of modules and Cauchy completeness