Return to search

Dimension Theory

This paper contains a discussion of topological dimension theory. Original proofs of theorems, as well as a presentation of theorems and proofs selected from Ryszard Engelking's Dimension Theory are contained within the body of this endeavor. Preliminary notation is introduced in Chapter I. Chapter II consists of the definition of and theorems relating to the small inductive dimension function Ind. Large inductive dimension is investigated in Chapter III. Chapter IV comprises the definition of covering dimension and theorems discussing the equivalence of the different dimension functions in certain topological settings. Arguments pertaining to the dimension o f Jn are also contained in Chapter IV.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc500690
Date08 1900
CreatorsFrere, Scot M. (Scot Martin)
ContributorsHagan, Melvin R., Lewis, Paul Weldon
PublisherNorth Texas State University
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 110 leaves, Text
RightsPublic, Frere, Scot M. (Scot Martin), Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved.

Page generated in 0.0019 seconds