THE CLASSICAL TOPOLOGY AND CONE LATTICES

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dc.contributor.advisorHart, James
dc.contributor.authorWiese, Matthew
dc.contributor.committeememberZha, Xiaoya
dc.contributor.committeememberSarkar, Medha
dc.contributor.departmentBasic & Applied Sciencesen_US
dc.date.accessioned2016-12-21T20:25:44Z
dc.date.available2016-12-21T20:25:44Z
dc.date.issued2016-10-27
dc.description.abstractIn his 2005 dissertation, Antoine Vella introduced a new topology on graphs and
dc.description.abstracthypergraphs known as the "classical" topology. In his 2015 thesis, Brian Frazier
dc.description.abstractcharacterized the prime spectrum for certain graphs' open set lattice under the clas-
dc.description.abstractsical topology and demonstrated how the graph may be recaptured from the prime
dc.description.abstractspectrum. In this paper, we further explore the classical topology on simple, social
dc.description.abstractgraphs by characterizing the classical topology for simple, social graphs order theoret-
dc.description.abstractically, discussing graph posets and their connection with the classical topology, and
dc.description.abstractcharacterizing the lattices which the classical topology yields, namely cone lattices.
dc.description.degreeM.S.
dc.identifier.urihttp://jewlscholar.mtsu.edu/handle/mtsu/5157
dc.publisherMiddle Tennessee State University
dc.subjectClassical Topology
dc.subjectCone Lattices
dc.subjectGraph
dc.subjectGraph Poset
dc.subjectLattice
dc.subjectTopology
dc.subject.umiMathematics
dc.thesis.degreegrantorMiddle Tennessee State University
dc.thesis.degreelevelMasters
dc.titleTHE CLASSICAL TOPOLOGY AND CONE LATTICES
dc.typeThesis

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