The six Grothendieck operations on o-minimal sheaves |
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| Authors: | Mário J Edmundo Luca Prelli |
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| Institution: | 1. Universidade Aberta, Campus do Tagus Park, Edifício Inovação I, Av. Dr. Jaques Delors, 2740-122 Porto Salvo, Oeiras, Portugal;2. CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal |
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| Abstract: | In this note, we report on our work on the formalism of the Grothendieck six operations on o-minimal sheaves. As an application to the theory of definable groups, we see that the cohomology of a definably compact group with coefficients in a field is a connected, bounded, Hopf algebra of finite type. |
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