Publication
Definably compact abelian groups
dc.contributor.author | Edmundo, Mário | |
dc.contributor.author | Otero, Margarita | |
dc.date.accessioned | 2014-01-08T12:11:10Z | |
dc.date.available | 2014-01-08T12:11:10Z | |
dc.date.issued | 2004-12 | |
dc.description.abstract | 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. | por |
dc.identifier.citation | 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 | por |
dc.identifier.issn | 0219-0613 | |
dc.identifier.issn | I793-6691 | |
dc.identifier.uri | http://hdl.handle.net/10400.2/2760 | |
dc.language.iso | eng | por |
dc.peerreviewed | yes | por |
dc.publisher | World Scientific | por |
dc.relation.publisherversion | doi: 10.1142/S0219061304000358 | por |
dc.subject | O-minimal structures | por |
dc.subject | Definable groups | por |
dc.subject | Torsion points | por |
dc.title | Definably compact abelian groups | por |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.citation.endPage | 21 | por |
oaire.citation.startPage | 1 | por |
oaire.citation.title | Journal of Mathematical Logic | por |
person.familyName | Edmundo | |
person.givenName | Mário Jorge | |
person.identifier | P-3392-2015 | |
person.identifier.ciencia-id | 0310-CC24-B3B5 | |
person.identifier.orcid | 0000-0002-3350-9271 | |
rcaap.rights | openAccess | por |
rcaap.type | article | por |
relation.isAuthorOfPublication | 67cdf4c4-936f-4d36-b7e3-bfc20693582b | |
relation.isAuthorOfPublication.latestForDiscovery | 67cdf4c4-936f-4d36-b7e3-bfc20693582b |