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Connected components of global semianalytic subsets of 2-dimensional analytic manifolds.

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dc.contributor.authorCastilla, A.
dc.contributor.authorAndradas Heranz, Carlos
dc.date.accessioned2023-06-20T16:49:48Z
dc.date.available2023-06-20T16:49:48Z
dc.date.issued1996
dc.description.abstractLet M be a connected paracompact real analytic manifold and S a semi-analytic subset. The following results are proved: 1) If dim(M) = 2 and S is globally semianalytic, then every connected component of S is again globally semianalytic. 2) S is globally semianalytic, if and only if its boundary Bd(S) is globally semianalytic.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14819
dc.identifier.doi10.1515/crll.1996.475.137
dc.identifier.issn0075-4102
dc.identifier.officialurlhttp://gdz.sub.uni-goettingen.de/no_cache/dms/load/toc/?IDDOC=238618
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57163
dc.journal.titleJournal für die Reine Angewandte Mathematik
dc.page.final148
dc.page.initial137
dc.publisherWalter de Gruyter
dc.relation.projectIDPB92-0498-C02-02
dc.rights.accessRightsmetadata only access
dc.subject.cdu512.7
dc.subject.keywordglobally semianalytic sets
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleConnected components of global semianalytic subsets of 2-dimensional analytic manifolds.
dc.typejournal article
dc.volume.number475
dspace.entity.typePublication
relation.isAuthorOfPublicationa74c23fe-4059-4e73-806b-71967e14ab67
relation.isAuthorOfPublication.latestForDiscoverya74c23fe-4059-4e73-806b-71967e14ab67

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