Relative subanalytic sheaves

Teresa Monteiro Fernandes; Luca Prelli

Fundamenta Mathematicae, Tome 227 (2014), p. 79-99 / Harvested from The Polish Digital Mathematics Library

Résumé

Given a real analytic manifold Y, denote by $Y_{s a}$ the associated subanalytic site. Now consider a product Y = X × S. We construct the endofunctor $ℱ \mapsto ℱ^{S}$ on the category of sheaves on $Y_{s a}$ and study its properties. Roughly speaking, $ℱ^{S}$ is a sheaf on $X_{s a} \times S$ . 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.

Publié le : 2014-01-01

Zbl 1305.18056

EUDML-ID : urn:eudml:doc:283083

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     title = {Relative subanalytic sheaves},
     journal = {Fundamenta Mathematicae},
     volume = {227},
     year = {2014},
     pages = {79-99},
     zbl = {1305.18056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-1-5}
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Teresa Monteiro Fernandes; Luca Prelli. Relative subanalytic sheaves. Fundamenta Mathematicae, Tome 227 (2014) pp. 79-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-1-5/