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Hausdorff Nonstandard Extensions

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Author(s): Marco Forti | Mauro Di Nasso | Vieri Benci

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 20;
Issue: 1-2;
Start page: 9;
Date: 2002;
Original page

Keywords: Hausdorff extension | Stone-Cech compactification.

ABSTRACT
We introduce the notion of Hausdorff extension of an arbitrary set Xand we study the connections with the Stone-Cech compactification beta X of the discrete space X. We characterize those Hausdorff extensions that satisfy the “transfer principle” of nonstandard analysis, and we investigate the consistency strength of their existence.
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