Examples and theorems for generalized paracompact topological spaces

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dc.contributor.authorFast, Stephen Hardinen
dc.contributor.committeechairSmith, James C.en
dc.contributor.committeememberGreen, Edward L.en
dc.contributor.committeememberParry, Charles J.en
dc.contributor.committeememberFletcher, Peteren
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:08:56Zen
dc.date.adate2006-02-01en
dc.date.available2014-03-14T21:08:56Zen
dc.date.issued1990-12-05en
dc.date.rdate2006-02-01en
dc.date.sdate2006-02-01en
dc.description.abstractIn this thesis we answer a number of unsolved problems in generalized paracompact topological spaces. Examples satisfying the T₄ separation axiom are constructed showing the relationship between the properties B(D, ω₀)-refinability, B(D, λ)-refinability, and weak θ̅-refinability. The properties B(D, λ)-refinability and weak θ̅-refinability are shown to be strictly weaker than B(D, ω₀)-refinability. Sum theorems, mapping theorems, and o—product theorems are obtained for B(D, ω₀)-refinability, weak θ̅-refinability, and several other properties. The σ—product theorem for B(D,ω₀)-refinability, weak θ̅-refinability, and other properties are shown to follow from a new special B(D,ω₀) sum theorem.en
dc.description.degreePh. D.en
dc.format.extentiv, 60 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02012006-141709en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141709/en
dc.identifier.urihttp://hdl.handle.net/10919/37227en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.F383.pdfen
dc.relation.isformatofOCLC# 23674280en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.F383en
dc.subject.lcshTopological spaces -- Researchen
dc.titleExamples and theorems for generalized paracompact topological spacesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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