A generalization of quasi-continuous functions and Riemann integration in refinement spaces

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dc.creatorSchoonover, Larry Gene
dc.date.accessioned2022-02-03T17:17:50Z
dc.date.available2022-02-03T17:17:50Z
dc.date.issued1972
dc.description.abstractTwo new properties are proven to be equivalent to the definition of quasi-continuous function. One of which is suitable for generalizing the definition to abstract spaces. Several properties of quasi-continuity in topological spaces are presented. Axioms are presented defining a refinement space in which several more properties of quasi-continuous functions are proven, and a Riemann type integral is defined in this space.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13673542
dc.identifier.urihttps://hdl.handle.net/10657/8665
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. §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.titleA generalization of quasi-continuous functions and Riemann integration in refinement spaces
dc.type.dcmiText
dc.type.genreThesis
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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