Relative subanalytic sheaves

Teresa Monteiro Fernandes, and Luca Prelli. "Relative subanalytic sheaves." Fundamenta Mathematicae 226.1 (2014): 79-99. <http://eudml.org/doc/283083>.

@article{TeresaMonteiroFernandes2014,
abstract = {Given a real analytic manifold Y, denote by $Y_\{sa\}$ the associated subanalytic site. Now consider a product Y = X × S. We construct the endofunctor $ℱ ↦ ℱ^\{S\}$ on the category of sheaves on $Y_\{sa\}$ and study its properties. Roughly speaking, $ℱ^\{S\}$ is a sheaf on $X_\{sa\} × S$. 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.},
author = {Teresa Monteiro Fernandes, Luca Prelli},
journal = {Fundamenta Mathematicae},
keywords = {sheaves; subanalytic; relative},
language = {eng},
number = {1},
pages = {79-99},
title = {Relative subanalytic sheaves},
url = {http://eudml.org/doc/283083},
volume = {226},
year = {2014},
}

TY - JOUR
AU - Teresa Monteiro Fernandes
AU - Luca Prelli
TI - Relative subanalytic sheaves
JO - Fundamenta Mathematicae
PY - 2014
VL - 226
IS - 1
SP - 79
EP - 99
AB - Given a real analytic manifold Y, denote by $Y_{sa}$ the associated subanalytic site. Now consider a product Y = X × S. We construct the endofunctor $ℱ ↦ ℱ^{S}$ on the category of sheaves on $Y_{sa}$ and study its properties. Roughly speaking, $ℱ^{S}$ is a sheaf on $X_{sa} × S$. 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.
LA - eng
KW - sheaves; subanalytic; relative
UR - http://eudml.org/doc/283083
ER -