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osu1211395297.pdf (151.5 KB)
ETD Abstract Container
Abstract Header
A Modern Presentation Of “Dimension And Outer Measure”
Author Info
Siebert, Kitzeln B.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1211395297
Abstract Details
Year and Degree
2008, Master of Science, Ohio State University, Mathematics.
Abstract
Hausdorff dimension is a modern mathematical tool used to classify metric spaces. Presented here is a modern treatment of some of the content of “Dimension and Outer measure,” Hausdorff’s original publication defining what we now call Hausdorff dimension. Contained, also, is a construction of a linear set of given dimension.
Committee
Gerald Edgar, PhD (Advisor)
Bergelson Vitaly, PhD (Committee Member)
Subject Headings
Mathematics
Keywords
Hausdorff
;
Hausdorff Dimension
;
Fractal
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Citations
Siebert, K. B. (2008).
A Modern Presentation Of “Dimension And Outer Measure”
[Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1211395297
APA Style (7th edition)
Siebert, Kitzeln.
A Modern Presentation Of “Dimension And Outer Measure”.
2008. Ohio State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1211395297.
MLA Style (8th edition)
Siebert, Kitzeln. "A Modern Presentation Of “Dimension And Outer Measure”." Master's thesis, Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1211395297
Chicago Manual of Style (17th edition)
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Document number:
osu1211395297
Download Count:
941
Copyright Info
© 2008, some rights reserved.
A Modern Presentation Of “Dimension And Outer Measure” by Kitzeln B. Siebert is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.