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The universal covering map in o-minimal expansions of groups

dc.contributor.authorEdmundo, Mário
dc.contributor.authorEleftheriou, P. E.
dc.contributor.authorPrelli, L.
dc.date.accessioned2014-01-21T11:39:43Z
dc.date.available2014-01-21T11:39:43Z
dc.date.issued2013-08
dc.description.abstractIn this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.por
dc.description.sponsorshipFundação para a Ciência e a Tecnologia, Financiamento Base 2008 - ISFL/1/209. Fundação para a Ciência e a Tecnologia, grant SFRH/BPD/35000/2007; Marie Curie grant PIEF-GA-2010-272021por
dc.description.sponsorshipThe first author was supported by Fundação para a Ciência e a Tecnologia, Financiamento Base 2008 - ISFL/1/209. The second author was supported by the Fundação para a Ciência e a Tecnologia grant SFRH/BPD/35000/2007. The third author was supported by Marie Curie grant PIEF-GA-2010-272021. This work is part of the FCT project PTDC/MAT/101740/2008.
dc.identifier.citationEdmundo, Mário; Eleftheriou, P. E.; Prelli, L. - The universal covering map in o-minimal expansions of groups. "Topology and its Applications" [Em linha]. ISSN 0166-8641 (Print) 1879-3207 (Online). Vol. 160, nº 13 (ago. 2013), p. 1-39por
dc.identifier.issn0166-8641 (Print)
dc.identifier.issn1879-3207 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.2/2828
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevier B.V.por
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0166864113002137por
dc.subjectO-minimal universal coverspor
dc.subjectFundamental groupspor
dc.titleThe universal covering map in o-minimal expansions of groupspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage39por
oaire.citation.startPage1por
oaire.citation.titleTopology and its Applicationspor
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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