Rendiconti del Seminario Matematico della Università di Padova
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Sheaves on Subanalytic SitesLuca Prelli (1) Università di Padova, Italy
In  the authors introduced the notion of ind-sheaves and defined the six Grothendieck operations in this framework. As a byproduct, they obtained subanalytic sheaves and the six Grothendieck operations on them. 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 machinery of ind-sheaves. As an application, we show how to recover the subanalytic sheaves Ot and Ow of temperate and Whitney holomorphic functions respectively.
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Prelli Luca: Sheaves on Subanalytic Sites. Rend. Sem. Mat. Univ. Padova 120 (2008), 167-216. doi: 10.4171/RSMUP/120-11