General and End Compactifications

Author

Matt Insall, Missouri University of Science and TechnologyFollow
Peter A. Loeb
Malgorzata Aneta Marciniak

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.

Recommended Citation

M. Insall et al., "General and End Compactifications," Nonstandard Analysis for the Working Mathematician: Second Edition, pp. 165 - 176, Springer Verlag, Jan 2015.

The definitive version is available at https://doi.org/10.1007/978-94-017-7327-0_5

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

01 Jan 2015