General and End Compactifications
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.
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
Mathematics and Statistics
Keywords and Phrases
Compactification; Equivalence relations; Nonstandard methods; Topological spaces; Topology
International Standard Book Number (ISBN)
Book - Chapter
© 2015 Springer Verlag, All rights reserved.
01 Jan 2015