O-minimal cohomology: finiteness and invariance results
Logic
2010-09-28 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.0705.3425,
title = {O-minimal cohomology: finiteness and invariance results},
author = {Alessandro Berarducci and Antongiulio Fornasiero},
journal= {arXiv preprint arXiv:0705.3425},
year = {2010}
}
Comments
28 pages, 7 figures and diagrams Added the hypothesis that singletons are construcible to section 3. Corrected misprints