Submission date: 28 May 2012.

Abstract:

In this paper we find general criteria to ensure that, in an arbitrary o-minimal structure, the o-minimal cohomology without supports and with definably compact supports of a definable space with coefficients in a sheaf is invariant in elementary extensions and in o-minimal expansions. We also prove the o-minimal analogue of Wilder's finiteness theorem in this context.

Mathematics Subject Classification:

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Full text arXiv 1205.6124: pdf, ps.