Sheaves on Subanalytic Sites
By L. Prelli. 2005
51 citations recorded by the source corpus.
In Asterisque 271 the authors introduced the notion of ind-sheaf, and defined the six Grothendieck operations in this framework. They defined subanalytic sheaves and they obtained the formalism of the six Grothendieck operations by including subanalytic sheaves into the category of ind-sheaves. The aim of this paper is to give a direct construction of the six Grothendieck operations in the framework of subanalytic sites avoiding the heavy theory of ind-sheaves. As an application we show how to recover the subanalytic sheaves of temperate and Whitney holomorphic functions.
Subfields: Geophysics, Management, Monitoring, Policy and Law, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/334cf336ddbe620b317a5acb4dc5fa80a7c20b09
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In Geophysics
In Management, Monitoring, Policy and Law
In Statistical and Nonlinear Physics
Citations in the corpus
- Schwartz Functions on Nash Manifolds (2007, methodology): “efine the space of Schwartz functions on Mto be the space of all smooth functions on K that vanish outside M together with all their derivatives. This approach is implemented in [CHM], [KS], [Mor] and [Pre]. In general, this definition depends on the embedding into K. Our results show that for Nash ma”