On the Canton set

Graduate Thesis Or Dissertation

Öffentlich Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/pn89db448

Descriptions

Attribute Name	Values
Creator	Chow, Theresa Kee Yu
Abstract	The Cantor set is a compact, totally disconnected, perfect subset of the real line. In this paper it is shown that two non-empty, compact, totally disconnected, perfect metric spaces are homeomorphic. Furthermore, a subset of the real line is homeomorphic to the Cantor set if and only if it is obtained from a closed interval by removing a class of disjoint, separated from each other but sufficiently dense open intervals.
Resource Type	Masters Thesis
Date Available	2014-05-28T17:50:37+00:00
Date Issued	1965-01-07
Degree Level	Master's
Degree Name	Master of Arts (M.A.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1965
Advisor	Arnold, B. H.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Topology
Urheberrechts-Erklärung	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/48564

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