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Invariance of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>o</mml:mi></mml:math>-minimal cohomology with definably compact supports
In this paper we find general criteria for invariance and finiteness results for o-minimal cohomology in an arbitrary o-minimal structure. We apply our criteria and obtain new invariance and finiteness results for o-minimal cohomology in o-minimal expansions of ordered groups and for the o-minimal cohomology of definably compact definable groups …