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Publicação
Definably compact abelian groups
Autores
Orientador(es)
Resumo(s)
Let M be an o-minimal expansion of a real closed field. Let G be a definably compact definably connected abelian n-dimensional group definable in M. We show the following: the o-minimal fundamental group of G is isomorphic to ℤ^n; for each k>0, the k-torsion subgroup of G is isomorphic to (ℤ/kℤ)^n, and the o-minimal cohomology algebra over ℚ of G is isomorphic to the exterior algebra over ℚ with n generators of degree one.
Descrição
Palavras-chave
O-minimal structures Definable groups Torsion points
Contexto Educativo
Citação
Edmundo, Mário Jorge; Otero, Margarita - Definably compact abelian groups. "Journal of Mathematical Logic" [Em linha]. ISSN I793-6691 (Print) 0219-0613 (Online). Vol. 4, nº 2 (Dez. 2004), p. 1-21
Editora
World Scientific