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Metric Density and Quasimobius Mappings

dc.contributor.authorIbragimov, Z.en_US
dc.date.accessioned2006-09-08T19:27:17Z
dc.date.available2006-09-08T19:27:17Z
dc.date.issued2002-09en_US
dc.identifier.citationIbragimov, Z.; (2002). "Metric Density and Quasimobius Mappings." Siberian Mathematical Journal 43(5): 812-821. <http://hdl.handle.net/2027.42/41618>en_US
dc.identifier.issn0037-4466en_US
dc.identifier.issn1573-9260en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41618
dc.description.abstractWe study the notion of μ-density of metric spaces which was introduced by V. Aseev and D. Trotsenko. Interrelation between μ-density and homogeneous density is established. We also characterize μ-dense spaces as “arcwise” connected metric spaces in which “arcs” are the quasimobius images of the middle-third Cantor set. Finally, we characterize quasiconformal self-mappings of n in terms of μ-density.en_US
dc.format.extent228078 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherMetric Densityen_US
dc.subject.otherQuasiconformal Mappingen_US
dc.subject.otherQuasimobius Mappingen_US
dc.titleMetric Density and Quasimobius Mappingsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41618/1/11202_2004_Article_454811.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1020194404901en_US
dc.identifier.sourceSiberian Mathematical Journalen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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