5 citations · 10 across the 16 of their papers we have counts for
21 papers
and multi-microlocal operators
Naofumi Honda, Luca Prelli
In this paper, we construct the multi-microlocalization functor of homomorphisms, which is a counterpart of the functor studied by M.Kashiwara and P.Schapira. Fur…
Relative subanalytic sheaves II
Teresa Monteiro Fernandes, Luca Prelli
We give a new construction of sheaves on a relative site associated to a product where plays the role of a parameter space, expanding the previous construction by t…
De Rham theorem for Whitney functions
Luca Prelli
Let M be a real analytic manifold, F a bounded complex of constructible sheaves. We show that the Whitney-de Rham complex associated to F is quasi-isomorphic to F.
Generalization of multi-specializations and multi-asymptotics
Naofumi Honda, Luca Prelli
The aim of this paper is to give a new description of the geometry appearing in the multi-specialization along a general family of submanifolds of a real analytic manifold (includi…
On the o-minimal Hilbert's fifth problem
Mario J. Edmundo, Marcello Mamino, Luca Prelli +2
Let be an arbitrary o-minimal structure. Let be a definably compact definably connected abelian definable group of dimension . Here we compute the new the intr…
On definably proper maps
Mário Edmundo, Marcello Mamino, Luca Prelli
In this paper we work in o-minimal structures with definable Skolem functions and show that a continuous definable map between Hausdorff locally definably compact definable spaces…