Equivalence of paracompactness, strong screenability, full normality and collection wise normality, in a Moore space

dc.contributor.advisorTraylor, Donald
dc.contributor.committeeMemberSinkhorn, Richard D.
dc.contributor.committeeMemberBrand, Louis
dc.contributor.committeeMemberRich, David C.
dc.creatorPhocas, Dionysios M.
dc.date.accessioned2022-06-22T13:40:18Z
dc.date.available2022-06-22T13:40:18Z
dc.date.issued1966
dc.description.abstractThe purpose of this thesis is to prove that in a regular, developable, topological space (MOORE SPACE) the properties of paracompactness, strong screenability, full normality, and collectionwise normality are equivalent, and each one implies normality, complete normality, and screenability. An example is given of a screenable Moore space which is not paracompact
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13673387
dc.identifier.urihttps://hdl.handle.net/10657/9719
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleEquivalence of paracompactness, strong screenability, full normality and collection wise normality, in a Moore space
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Arts and Sciences
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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