no. 4
Poincaré - Verdier duality in o-minimal structures
[Dualité de Poincaré - Verdier pour les structures o-minimales]
Edmundo, Mário J.1 ; Prelli, Luca2
1 Universidade Aberta & CMAF Universidade de Lisboa Av. Prof. Gama Pinto 2 1649-003 Lisboa (Portugal)
2 Università di Padova Dipartimento di Matematica Pura ed Applicata Via Trieste 63 35121 Padova (Italy)
Annales de l'Institut Fourier, Tome 60 (2010) no. 4, pp. 1259-1288.

On démontre une dualité de Poincaré - Verdier dans le cadre de la cohomologie o-minimale des faisceaux avec support compact et définissable sur des espaces définissablement normaux, définissablement localement compacts dans une structure o-minimale arbitraire.

Here we prove a Poincaré - Verdier duality theorem for the o-minimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure.

DOI : 10.5802/aif.2554
Classification : 03C64, 55N30
Keywords: O-minimal structures, sheaf cohomology
Mot clés : Structure o-minimale, cohomologie des faisceaux
Edmundo, Mário J. 1 ; Prelli, Luca 2

1 Universidade Aberta & CMAF Universidade de Lisboa Av. Prof. Gama Pinto 2 1649-003 Lisboa (Portugal)
2 Università di Padova Dipartimento di Matematica Pura ed Applicata Via Trieste 63 35121 Padova (Italy) 
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     title = {Poincar\'e - {Verdier} duality in o-minimal structures},
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Edmundo, Mário J.; Prelli, Luca. Poincaré - Verdier duality in o-minimal structures. Annales de l'Institut Fourier, Tome 60 (2010) no. 4, pp. 1259-1288. doi : 10.5802/aif.2554. https://aif.centre-mersenne.org/articles/10.5802/aif.2554/

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