Contribution to Book
General and End Compactifications
Nonstandard Analysis for the Working Mathematician: Second Edition
Abstract
The intuitive notion of forming a compactification of a topological space is to “attach” new points to a space to “compactify” it. We use equivalence relations on the remote points of an enlargement of a given topological space to produce the new points. Thus, nonstandard methods are shown to unify the various extant approaches to compactification.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Compactification,
- Equivalence relations,
- Nonstandard methods,
- Topological spaces,
- Topology
International Standard Book Number (ISBN)
978-94-017-7326-3
Document Type
Book - Chapter
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Springer Verlag, All rights reserved.
Publication Date
1-1-2015
Publication Date
01 Jan 2015
Disciplines
Citation Information
Matt Insall, Peter A. Loeb and Malgorzata Aneta Marciniak. "General and End Compactifications" Nonstandard Analysis for the Working Mathematician: Second Edition (2015) p. 165 - 176 Available at: http://works.bepress.com/matt-insall/38/