Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 74

Preprint Number 74

Previous Next Preprint server

74. Alessandro Berarducci and Antongiulio Fornasiero
O-minimal cohomology: finiteness and invariance results
E-mail: ,

Submission date: 23 May 2007


We prove that the cohomology groups of a definably compact set over an o-minimal expansion of a group are finitely generated and invariant under elementary extensions and expansions of the language. We also study the cohomology of the intersection of a definable decreas-ing family of definably compact sets, under the additional assumption that the o-minimal structure expands a field.

Mathematics Subject Classification: 03C64, 14P25, 55N30

Keywords and phrases: O-minimality, spectrum, sheaf, Cech, cohomology

Full text (arXiv): pdf, ps.

Last updated: May 29 2007 12:08 Please send your corrections to: