{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T12:37:43Z","timestamp":1776688663028,"version":"3.51.2"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Log."],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p> 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 \u2124<jats:sup>n<\/jats:sup>; for each k&gt;0, the k-torsion subgroup of G is isomorphic to (\u2124\/k\u2124)<jats:sup>n<\/jats:sup>, and the o-minimal cohomology algebra over \u211a of G is isomorphic to the exterior algebra over \u211a with n generators of degree one. <\/jats:p>","DOI":"10.1142\/s0219061304000358","type":"journal-article","created":{"date-parts":[[2005,1,14]],"date-time":"2005-01-14T16:39:54Z","timestamp":1105720794000},"page":"163-180","source":"Crossref","is-referenced-by-count":43,"title":["DEFINABLY COMPACT ABELIAN GROUPS"],"prefix":"10.1142","volume":"04","author":[{"given":"M\u00c1RIO J.","family":"EDMUNDO","sequence":"first","affiliation":[{"name":"CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal"}]},{"given":"MARGARITA","family":"OTERO","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid, 28049 Madrid, Spain"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610701003015"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1058448438"},{"key":"rf3","volume-title":"The Lefschetz Fixed Point Theorem","author":"Brown R.","year":"1971"},{"key":"rf4","first-page":"122","volume":"335","author":"Delfs H.","journal-title":"J. Reine Angew. Math."},{"key":"rf5","volume-title":"Lectures on Algebraic Topology","author":"Dold A.","year":"1980"},{"key":"rf6","series-title":"Tame Topology and o-Minimal Structures","volume-title":"London Mathematical Society Lecture Notes Series","volume":"248","author":"van den Dries L.","year":"1998"},{"key":"rf8","volume-title":"Elements of Algebraic Topology","author":"Munkres J.","year":"1984"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(99)00016-0"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610799007528"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(88)90125-9"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(94)90127-9"}],"container-title":["Journal of Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219061304000358","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:31:01Z","timestamp":1565152261000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219061304000358"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12]]},"references-count":11,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2004,12]]}},"alternative-id":["10.1142\/S0219061304000358"],"URL":"https:\/\/doi.org\/10.1142\/s0219061304000358","relation":{},"ISSN":["0219-0613","1793-6691"],"issn-type":[{"value":"0219-0613","type":"print"},{"value":"1793-6691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12]]}}}