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JSYML
2010

Groups definable in linear o-minimal structures: the non-compact case

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Groups definable in linear o-minimal structures: the non-compact case
Let M = M, +, <, 0, S be a linear o-minimal expansion of an ordered group, and G = G, ⊕, eG an n-dimensional group definable in M. We show that if G is definably connected with respect to the t-topology, then it is definably isomorphic to a definable quotient group U/L, for some convex definable subgroup U of Mn, + and a lattice L of rank equal to the dimension of the ‘compact part’ of G.
Pantelis E. Eleftheriou
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where JSYML
Authors Pantelis E. Eleftheriou
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