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Isovariant maps and the Borsuk-Ulam theorem
dc.contributor.authorWasserman, Arthur G.en_US
dc.date.accessioned2006-04-10T14:48:04Z
dc.date.available2006-04-10T14:48:04Z
dc.date.issued1991-02-28en_US
dc.identifier.citationWasserman, Arthur G. (1991/02/28)."Isovariant maps and the Borsuk-Ulam theorem." Topology and its Applications 38(2): 155-161. <http://hdl.handle.net/2027.42/29448>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6V1K-45FCWP1-49/2/0e3eff55c2395dd3a6cb46cb80ac00c6en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/29448
dc.description.abstractThe classical Borsuk-Ulan theorem asserts that if a continuous map from n to m commutes with the antipodal map and sends only the origin to the origin then n[les]m. Such a map is said to be isovariant with respect to the 2 action defined by the antipodal map. In this paper it is shown that there is a wide class of compact Lie groups, BUG, with the property that if G[set membership, variant]BUG then any G-isovariant map f:V--&gt;W between representations of G with VG=0 must raise dimension, i.e., dimension V[les]dimension W. It is conjectured that every compact Lie group is in BUG.en_US
dc.format.extent845748 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleIsovariant maps and the Borsuk-Ulam theoremen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Ann Arbor, MI, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/29448/1/0000530.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0166-8641(91)90082-Wen_US
dc.identifier.sourceTopology and its Applicationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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