Weak confluence and W-sets

dc.contributor.advisorIngram, William T.
dc.contributor.committeeMemberBrown, Dennison R.
dc.contributor.committeeMemberCook, Howard
dc.contributor.committeeMemberLelek, Andrew S.
dc.contributor.committeeMemberYoes, M. G., Jr.
dc.creatorNall, Van Clyne, III
dc.date.accessioned2023-09-29T17:40:36Z
dc.date.available2023-09-29T17:40:36Z
dc.date.issued1983
dc.description.abstractIf K is a subcontinuum of a continuum M such that K is contained in every continuum in M which intersects K and its complement, then K is called a C-set. It has been observed that every map from a continuum onto M is confluent with respect to a C-set. That is, for every map of a continuum onto M every component of the preimage of a C-set K maps onto K. A map of a continuum onto M is said to be weakly confluent with respect to a subcontinuum K if some component of the preimage of K maps onto K. If K is a subcontinuum of M such that every map of a continuum onto M is weakly confluent with respect to K, then K will be called a W-set. In this paper some fundamental properties of W-sets are discussed, and characterizations of W-sets in atriodic continua are given.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other11930424
dc.identifier.urihttps://hdl.handle.net/10657/15099
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.subjectC*-algebras
dc.titleWeak confluence and W-sets
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Natural Sciences and Mathematics
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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