Invariance of o-minimal cohomology with definably compact supports

Mario J. Edmundo; Luca Prelli

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arXiv · 1205.6124

Invariance of o-minimal cohomology with definably compact supports

Mario J. Edmundo·Luca Prelli

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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.

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Mario J. Edmundo, Luca Prelli. 2012-05-28. Invariance of o-minimal cohomology with definably compact supports. https://arxiv.org/abs/1205.6124

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