Browsing by Author "Peatfield, N. J."
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- Invariance results for definable extensions of groupsPublication . Edmundo, Mário; Jones, G. O.; Peatfield, N. J.We show that in an o-minimal expansion of an ordered group finite definable extensions of a definable group which is defined in a reduct are already defined in the reduct. A similar result is proved for finite topological extensions of definable groups defined in o-minimal expansions of the ordered set of real numbers.
- O-minimal Čech cohomologyPublication . Edmundo, Mário; Peatfield, N. J.We prove the existence of a Čech cohomology theory in arbitrary o-minimal structures with definable Skolem functions satisfying the Eilenberg–Steenrod axioms.
- Sheaf cohomology in o-minimal structuresPublication . Edmundo, Mário Jorge; Jones, G. O.; Peatfield, N. J.Here we prove the existence of sheaf cohomology theory in arbitrary o-minimal structures.