Characterizations of Continua of Finite Degree

Description:

In this thesis, some characterizations of continua of finite degree are given. It turns out that being of finite degree (by formal definition) can be described by saying there exists an equivalent metric in which Hausdorff linear measure of the continuum is finite. I discuss this result in detail.

Creator(s): Irwin, Shana
Creation Date: August 2006
Partner(s):
UNT Libraries
Collection(s):
UNT Theses and Dissertations
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Total Uses: 97
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Publisher Info:
Publisher Name: University of North Texas
Place of Publication: Denton, Texas
Date(s):
  • Creation: August 2006
  • Digitized: April 2, 2008
Description:

In this thesis, some characterizations of continua of finite degree are given. It turns out that being of finite degree (by formal definition) can be described by saying there exists an equivalent metric in which Hausdorff linear measure of the continuum is finite. I discuss this result in detail.

Degree:
Level: Master's
Discipline: Mathematics
Language(s):
Subject(s):
Keyword(s): continuum | continua | finite degree | Hausdorff linear measure
Contributor(s):
Partner:
UNT Libraries
Collection:
UNT Theses and Dissertations
Identifier:
  • OCLC: 123895119 |
  • ARK: ark:/67531/metadc5367
Resource Type: Thesis or Dissertation
Format: Text
Rights:
Access: Public
License: Copyright
Holder: Irwin, Shana
Statement: Copyright is held by the author, unless otherwise noted. All rights reserved.