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The Quarterly Journal of Mathematics Advance Access originally published online on October 17, 2007
The Quarterly Journal of Mathematics 2008 59(2):213-220; doi:10.1093/qmath/ham036
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

O-MINIMAL CECH COHOMOLOGY

Mário J. Edmundo {ddagger}

CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal

Nicholas J. Peatfield{dagger} §

Department of Mathematics, University of Bristol, Royal Fort Annex, Bristol BS8 1UJ, UK

{dagger} Corresponding author. Email: manjp{at}bristol.maths.ac.uk

revised 6 June 2007
  Abstract

We prove the existence of a Cech cohomology theory in arbitrary o-minimal structures with definable Skolem functions satisfying the Eilenberg–Steenrod axioms.

{ddagger} With partial support from the FCT (Fundação para a Ciência e Tecnologia), program POCTI (Portugal/FEDER-EU).

§ Supported by a postdoctoral fellowship from CMAF, Universidade de Lisboa. MSC: 03C64; 55N05.


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