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Diverse homogeneous sets

dc.contributor.authorBlass, Andreasen_US
dc.contributor.authorErdos, Paulen_US
dc.contributor.authorTaylor, Alanen_US
dc.date.accessioned2006-04-10T15:19:07Z
dc.date.available2006-04-10T15:19:07Z
dc.date.issued1992-03en_US
dc.identifier.citationBlass, Andreas, Erdos, Paul, Taylor, Alan (1992/03)."Diverse homogeneous sets." Journal of Combinatorial Theory, Series A 59(2): 312-317. <http://hdl.handle.net/2027.42/30188>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6WHS-4D8DPVM-5J/2/102e6e0ecba0b123323494374a2ea6b2en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/30188
dc.description.abstractA set H [subset of or equal to] [omega] is said to be diverse with respect to a partition [Pi] of [omega] if at least two pieces of [Pi] have an infinite intersection with H. A family of partitions of [omega] has the Ramsey property if, whenever [[omega]]2 is two-colored, some monochromatic set is diverse with respect to at least one partition in the family. We show that no countable collection of even infinite partitions of [omega] has the Ramsey property, but there always exists a collection of 1 finite partitions of [omega] with the Ramsey property.en_US
dc.format.extent313517 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleDiverse homogeneous setsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematics Department, University of Michigan, Ann Arbor, Michigan 48109, USAen_US
dc.contributor.affiliationotherMathematical Institute, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, H-1053, Hungaryen_US
dc.contributor.affiliationotherMathematics Department, Union College, Schenectady, New York 12308, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/30188/1/0000573.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0097-3165(92)90072-3en_US
dc.identifier.sourceJournal of Combinatorial Theory, Series Aen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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