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Non-standard lattices and o-minimal groups

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ELEFTHERIOU, Pantelis E., 2013. Non-standard lattices and o-minimal groups. In: The Bulletin of Symbolic Logic. Association for Symbolic Logic. 19(1), pp. 56-76. ISSN 1079-8986. eISSN 1943-5894. Available under: doi: 10.2178/bsl.1901020

@article{Eleftheriou2013Nonst-49647, title={Non-standard lattices and o-minimal groups}, url={}, year={2013}, doi={10.2178/bsl.1901020}, number={1}, volume={19}, issn={1079-8986}, journal={The Bulletin of Symbolic Logic}, pages={56--76}, author={Eleftheriou, Pantelis E.} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dspace:isPartOfCollection rdf:resource=""/> <bibo:uri rdf:resource=""/> <dc:contributor>Eleftheriou, Pantelis E.</dc:contributor> <dc:language>eng</dc:language> <dcterms:isPartOf rdf:resource=""/> <dcterms:rights rdf:resource=""/> <dcterms:available rdf:datatype="">2020-05-26T12:34:40Z</dcterms:available> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:date rdf:datatype="">2020-05-26T12:34:40Z</dc:date> <dcterms:issued>2013</dcterms:issued> <dc:creator>Eleftheriou, Pantelis E.</dc:creator> <dcterms:title>Non-standard lattices and o-minimal groups</dcterms:title> <dc:rights>terms-of-use</dc:rights> <dcterms:abstract xml:lang="eng">We describe a recent program from the study of definable groups in certain o-minimal structures. A central notion of this program is that of a (geometric) lattice. We propose a definition of a lattice in an arbitrary first-order structure. We then use it to describe, uniformly, various structure theorems for o-minimal groups, each time recovering a lattice that captures some significant invariant of the group at hand. The analysis first goes through a local level, where a pertinent notion of pregeometry and generic elements is each time introduced.</dcterms:abstract> </rdf:Description> </rdf:RDF>

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