Invariance of o-minimal cohomology with definably compact supports
Confluentes Mathematici, Tome 7 (2015) no. 1, pp. 35-53.

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 in arbitrary o-minimal structures.

DOI : 10.5802/cml.17
Classification : 03C64, 55N30
Mots clés : $o$-minimal structures, $o$-minimal cohomology.
Mário J. Edmundo 1, 2 ; Luca Prelli 1

1 CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal
2 Universidade Aberta, Rua Braamcamp 90, 1250-052 Lisboa, Portugal, and
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Mário J. Edmundo; Luca Prelli. Invariance of $o$-minimal cohomology with definably compact supports. Confluentes Mathematici, Tome 7 (2015) no. 1, pp. 35-53. doi : 10.5802/cml.17. https://cml.centre-mersenne.org/articles/10.5802/cml.17/

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