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arXiv · 0705.3425

O-minimal cohomology: finiteness and invariance results

Alessandro Berarducci·Antongiulio Fornasiero
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Abstract

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.

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BibTeXRIS

Alessandro Berarducci, Antongiulio Fornasiero. 2007-05-27. O-minimal cohomology: finiteness and invariance results. https://doi.org/10.1142/s0219061309000859

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