Coverings of profinite graphs

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dc.contributorDixon, Martyn R.
dc.contributorEvans, Martin J.
dc.contributorLiem, Vo T.
dc.contributorTrace, Bruce S.
dc.contributorTrent, Tavan T.
dc.contributorWu, Zhijian
dc.contributorRatkovich, Thomas
dc.contributor.advisorCorson, Jon M.
dc.contributor.authorAcharyya, Amrita
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-03-01T16:57:36Z
dc.date.available2017-03-01T16:57:36Z
dc.date.issued2013
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractWe define a covering of a profinite graph to be a projective limit of a system of covering maps of finite graphs. With this notion of covering, we develop a covering theory for profinite graphs which is in many ways analogous to the classical theory of coverings of abstract graphs. For example, it makes sense to talk about the universal cover of a profinite graph and we show that it always exists and is unique. We define the profinite fundamental group of a profinite graph and show that a connected cover of a connected profinite graph is the universal cover if and only if its profinite fundamental group is trivial.en_US
dc.format.extent80 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0001491
dc.identifier.otherAcharyya_alatus_0004D_11784
dc.identifier.urihttps://ir.ua.edu/handle/123456789/1953
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectMathematics
dc.titleCoverings of profinite graphsen_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.leveldoctoral
etdms.degree.namePh.D.
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