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Nonstandard analysis and an application to the symmetric group on natural numbers. (English) Zbl 1020.03064

Zhang, Yi (ed.), Logic and algebra. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 302, 249-258 (2002).
Summary: An introduction of nonstandard analysis in purely algebraic terms is presented. As an application, we give a nonstandard proof of a characterization theorem for compact subsets of \(\text{Sym} (\mathbb{N})\).
For the entire collection see [Zbl 0994.00017].

MSC:

03H05 Nonstandard models in mathematics
20B30 Symmetric groups
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