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dc.contributor.advisorSearle, Catherine
dc.contributor.authorChan, Jacqueline
dc.date.accessioned2021-06-23T18:40:25Z
dc.date.available2021-06-23T18:40:25Z
dc.date.issued2021-05
dc.identifier.othert21007
dc.identifier.urihttps://soar.wichita.edu/handle/10057/21585
dc.descriptionThesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
dc.description.abstractThe Hopf Conjecture states that for closed, orietable, even-dimensional manifolds, the Euler characteristic is strictly positive. Results due independently to P uttmann and Searle [13] and Rong [14], and due to Rong and Su [15], showing that the Hopf Conjecture holds under the additional hypothesis of abelian symmetries. In this thesis we detail the proofs of these two results. For the rst result, we provide the details of the original proof, whereas for the second, we give a more streamlined proof that relies of the Borel formula.
dc.format.extentvii, 56 pages
dc.language.isoen_US
dc.publisherWichita State University
dc.rights© Copyright 2021 by Jacqueline Chan All Rights Reserved
dc.subject.lcshElectronic dissertations
dc.titleThe Hopf Conjecture with abelian symmetries
dc.typeThesis


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