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Continua and Related Topics

This paper is a study of continue and related metric spaces, Chapter I is an introductory chapter. Irreducible continua and noncut points are the main topics in Chapter II. The third chapter begins with a few results on locally connected spaces. These results are then used to prove results in locally connected continua. Decomposable and indecomposable continua are dealt with in Chapter IV. Totally disconnected metric spaces are studied in the beginning of Chapter V. Then we see that every compact metric space is a continuous image of the Cantor set. A continuous map from the Cantor set onto [0,1] is constructed. Also, a continuous map from [0,1] onto [0,1]x[0,1] is built, Then an order preserving homeomorphism is constructed from a metric arc onto [0,1],

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc504299
Date08 1900
CreatorsBrucks, Karen M. (Karen Marie), 1957-
ContributorsHagan, Melvin R., Parrish, Herbert C.
PublisherNorth Texas State University
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formativ, 73 leaves: ill., Text
RightsPublic, Brucks, Karen M. (Karen Marie), 1957-, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved.

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