Relative subanalytic sheaves

• Autorzy: Teresa Monteiro Fernandes , Luca Prelli
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 18F10: Grothendieck topologies
• 18F20: Presheaves and sheaves

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 226
• Numer: 1
• Strony: 79-99

Daty

wydano

2014

Twórcy

autor

Teresa Monteiro Fernandes

• Centro de Matemática e Aplicações Fundamentais, e Departamento de Matemática da FCUL, Complexo 2, 2 Avenida Prof. Gama Pinto, 1649-003, Lisboa, Portugal

autor

Luca Prelli

• Centro de Matemática e Aplicações Fundamentais, e Departamento de Matemática da FCUL, Complexo 2, 2 Avenida Prof. Gama Pinto, 1649-003, Lisboa, Portugal

Identyfikatory

DOI

10.4064/fm226-1-5