Cohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup

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dc.creatorBerarducci, Alessandro
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:10Z
dc.date.available2026-07-07T08:43:10Z
dc.descriptionBy recent work on some conjectures of Pillay, each definably compact group in a saturated o-minimal structure is an expansion of a compact Lie group by a torsion free normal divisible subgroup, called its infinitesimal subgroup. We show that the infinitesimal subgroup is cohomologically acyclic. This implies that the functorial correspondence between definably compact groups and Lie groups preserves the cohomology.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0711.2502
dc.identifierhttp://arxiv.org/abs/0711.2502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142223
dc.subjectLogic
dc.subjectAlgebraic Topology
dc.subject03C64; 22E15; 03H05
dc.titleCohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup
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