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Compactification of groups and rings and nonstandard analysis1

Published online by Cambridge University Press:  12 March 2014

Abraham Robinson
Abraham Robinson*
Affiliation:
Yale University
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Extract

Let G be a separated (Hausdorff) topological group and let *G be an enlargement of G (see [8]). Thus, *G (i) possesses the same formal properties as G in the sense explained in [8], and (ii) every set of subsets {Aν } of G with the finite intersection property—i.e. such that every nonempty finite subset of {Aν } has a nonempty intersection—satisfies ∩*Aν ≠ ø, where the *Aν are the extensions of the Aν in *G, respectively.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 4 , February 1970 , pp. 576 - 588
Copyright
Copyright © Association for Symbolic Logic 1970

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Footnotes

1

Research supported in part by the National Science Foundation, Grant No. GP-8625. The author is indebted to a referee for pointing out a number of errors in the typescript and for suggesting several changes in the presentation.

References

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