Concerning certain minimal cover refineable spaces

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dc.contributor.advisorTraylor, D. R.
dc.contributor.committeeMemberCook, Howard
dc.contributor.committeeMemberIngram, William T.
dc.contributor.committeeMemberVobach, Arnold R.
dc.contributor.committeeMemberStepp, James W.
dc.contributor.committeeMemberCollins, R. Eugene
dc.creatorChristian, Upton J.
dc.date.accessioned2022-06-22T13:40:36Z
dc.date.available2022-06-22T13:40:36Z
dc.date.issued1970
dc.description.abstractThe concept of minimal cover refineable spaces was first used by R. Arens and J. Dugundji. This paper extends their results by showing both additional properties which imply minimal cover refineability and additional properties which are implied by minimal cover refineability. In the course of the research for this paper, some properties of dense subspaces of certain minimal cover refineable spaces were noted. In particular, it was noted that every Nagata space contains a dense metric subspace.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13683330
dc.identifier.urihttps://hdl.handle.net/10657/9739
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.titleConcerning certain minimal cover refineable spaces
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.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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