Concerning the cone = hyperspace property

dc.contributor.advisorIngram, William T.
dc.contributor.committeeMemberBrown, Dennison R.
dc.contributor.committeeMemberCook, Howard
dc.contributor.committeeMemberLelek, Andrew S.
dc.contributor.committeeMemberWheeler, Lewis T.
dc.creatorMarsh, Dorothy Sherling
dc.date.accessioned2023-10-04T16:48:36Z
dc.date.available2023-10-04T16:48:36Z
dc.date.copyright1981-11-05
dc.date.issued1981
dc.description.abstractAn example of a one-dimensional, nonchainable, noncircle-like continuum is constructed and shown to have the cone = hyperspace property. In addition, it is proved that a sufficient condition for a continuum X to have the cone = hyperspace property is that there exists a selection for C(X){X} which, for some Whitney map for C(X) , maps each nondegenerate Whitney level homeomorphically onto X . The class of Whitney stable continua includes the arc, the circle, the pseudo-arc, and the solenoids. It is shown that a certain example due to W. T. Ingram of a nonchainable, atriodic, tree-like continuum is also Whitney stable.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other8609427
dc.identifier.urihttps://hdl.handle.net/10657/15237
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.subjectHyperspace
dc.titleConcerning the cone = hyperspace property
dc.type.dcmiText
dc.type.genreThesis
dcterms.accessRightsThe full text of this item is not available at this time because it contains documents that are presumed to be under copyright and are accessible only to users who have an active CougarNet ID. This item will continue to be made available through interlibrary loan.
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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