Confluent, locally confluent, and weakly confluent maps

dc.creatorRead, David Ronald
dc.description.abstractCertain properties of confluent maps of compacta are developed in this paper, together with some conditions which imply that a map is confluent, A characterization of hereditarily indecomposable continua is given in terms of confluent maps. It is shown that every locally confluent map from a compactum onto a locally connected metric continuum is confluent. This result is used to prove that every locally confluent map from a compactum onto a dendroid is confluent. An example is constructed of two locally confluent maps whose composition is not locally confluent. Finally, it is shown that any map from a metric continuum onto an arc-like continuum is weakly confluent.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
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.titleConfluent, locally confluent, and weakly confluent maps
dc.type.genreThesis, Department of of Houston of Philosophy


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