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Nonstandard analysis in topology: nonstandard and standard compactifications

Published online by Cambridge University Press:  12 March 2014

S. Salbany  and
Todor Todorov
S. Salbany
Affiliation:
Department of Mathematics, Unisa, Pretoria 0002, Republic of South Africa, E-mail:salbasdo@unisa.ac.za
Todor Todorov
Affiliation:
Departmentof Mathematics, California Polytechnic State University, 1431 18th St. Los Osos, CA 93402, USA, E-mail:ttodorov@aboe.calpoly.edu
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Abstract

Let (X, T) be a topological space and *X a nonstandard extension of X. Sets of the form *G. where G ∈ T, form a base for the “standard” topology ST on *X. The topological space (*X, ST) will be used to study compactifications of (X, T) in a systematic way.

Keywords

Nonstandard extensionstandard topologycompactificationscompactlocally compactsupersober spaces
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 4 , December 2000 , pp. 1836 - 1840
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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