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Triangulation of Locally Semi-Algebraic Spaces.

dc.contributor.authorHofmann, Kyle Rogeren_US
dc.date.accessioned2009-09-03T14:55:27Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2009-09-03T14:55:27Z
dc.date.issued2009en_US
dc.date.submitted2009en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/63851
dc.description.abstractWe give necessary and sufficient conditions for a locally semi-algebraic space to be homeomorphic to a simplicial complex. Our proof does not require the space to be embedded anywhere, and it requires neither compactness nor projectivity of the space. A corollary is that every real or complex algebraic variety is triangulable, a result which does not seem to be available in the literature when the variety is neither projective nor real and compact.en_US
dc.format.extent407917 bytes
dc.format.extent1373 bytes
dc.format.mimetypeapplication/octet-stream
dc.format.mimetypetext/plain
dc.language.isoen_USen_US
dc.subjectTriangulationen_US
dc.subjectAlgebraic Geometryen_US
dc.subjectAlgebraic Topologyen_US
dc.subjectAlgebraic Varietiesen_US
dc.titleTriangulation of Locally Semi-Algebraic Spaces.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberMustata, Mircea Immanuelen_US
dc.contributor.committeememberFulton, Williamen_US
dc.contributor.committeememberSmith, Karen E.en_US
dc.contributor.committeememberTappenden, James P.en_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/63851/1/krhofman_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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