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Definably compact abelian groups

dc.contributor.authorEdmundo, Mário
dc.contributor.authorOtero, Margarita
dc.date.accessioned2014-01-08T12:11:10Z
dc.date.available2014-01-08T12:11:10Z
dc.date.issued2004-12
dc.description.abstractLet 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.por
dc.identifier.citationEdmundo, 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. 1-21por
dc.identifier.issn0219-0613
dc.identifier.issnI793-6691
dc.identifier.urihttp://hdl.handle.net/10400.2/2760
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherWorld Scientificpor
dc.relation.publisherversiondoi: 10.1142/S0219061304000358por
dc.subjectO-minimal structurespor
dc.subjectDefinable groupspor
dc.subjectTorsion pointspor
dc.titleDefinably compact abelian groupspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage21por
oaire.citation.startPage1por
oaire.citation.titleJournal of Mathematical Logicpor
person.familyNameEdmundo
person.givenNameMário Jorge
person.identifierP-3392-2015
person.identifier.ciencia-id0310-CC24-B3B5
person.identifier.orcid0000-0002-3350-9271
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication67cdf4c4-936f-4d36-b7e3-bfc20693582b
relation.isAuthorOfPublication.latestForDiscovery67cdf4c4-936f-4d36-b7e3-bfc20693582b

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