In this paper we find general criteria to ensure that, in an arbitrary o-minimal structure, the o-minimal cohomology without supports and with definably compact supports of a definable space with coefficients in a sheaf is invariant in elementary extensions and in o-minimal expansions. We also prove the o-minimal analogue of Wilder's finiteness theorem in this context.
Invariance of o-minimal cohomology with definably compact supports
PRELLI, LUCA
2015
Abstract
In this paper we find general criteria to ensure that, in an arbitrary o-minimal structure, the o-minimal cohomology without supports and with definably compact supports of a definable space with coefficients in a sheaf is invariant in elementary extensions and in o-minimal expansions. We also prove the o-minimal analogue of Wilder's finiteness theorem in this context.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1205.6124v1.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
305.87 kB
Formato
Adobe PDF
|
305.87 kB | Adobe PDF | Visualizza/Apri |
|
Invariance of o-minimal cohomology with definably compact supposts CM.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
629.53 kB
Formato
Adobe PDF
|
629.53 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
