In this paper we find general criteria for invariance and finiteness results for -minimal cohomology in an arbitrary -minimal structure. We apply our criteria and obtain new invariance and finiteness results for -minimal cohomology in -minimal expansions of ordered groups and for the -minimal cohomology of definably compact definable groups in arbitrary -minimal structures.
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Mots-clés : $o$-minimal structures, $o$-minimal cohomology.
@article{CML_2015__7_1_35_0,
author = {Edmundo, M\'ario J. and Prelli, Luca},
title = {Invariance of $o$-minimal cohomology with definably compact supports},
journal = {Confluentes Mathematici},
pages = {35--53},
publisher = {Institut Camille Jordan},
volume = {7},
number = {1},
year = {2015},
doi = {10.5802/cml.17},
language = {en},
url = {http://www.numdam.org/articles/10.5802/cml.17/}
}
TY - JOUR AU - Edmundo, Mário J. AU - Prelli, Luca TI - Invariance of $o$-minimal cohomology with definably compact supports JO - Confluentes Mathematici PY - 2015 SP - 35 EP - 53 VL - 7 IS - 1 PB - Institut Camille Jordan UR - http://www.numdam.org/articles/10.5802/cml.17/ DO - 10.5802/cml.17 LA - en ID - CML_2015__7_1_35_0 ER -
%0 Journal Article %A Edmundo, Mário J. %A Prelli, Luca %T Invariance of $o$-minimal cohomology with definably compact supports %J Confluentes Mathematici %D 2015 %P 35-53 %V 7 %N 1 %I Institut Camille Jordan %U http://www.numdam.org/articles/10.5802/cml.17/ %R 10.5802/cml.17 %G en %F CML_2015__7_1_35_0
Edmundo, Mário J.; Prelli, Luca. Invariance of $o$-minimal cohomology with definably compact supports. Confluentes Mathematici, Tome 7 (2015) no. 1, pp. 35-53. doi : 10.5802/cml.17. http://www.numdam.org/articles/10.5802/cml.17/
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