<b>Hausdorff Nonstandard Extensions</b> - doi: 10.5269/bspm.v20i1-2.7519

Vieri Benci; Marco Forti; Mauro Di Nasso

doi:10.5269/bspm.v20i1-2.7519

<b>Hausdorff Nonstandard Extensions</b> - doi: 10.5269/bspm.v20i1-2.7519

Vieri Benci Universita' di Pisa
Marco Forti Universita’ di Pisa
Mauro Di Nasso Universit`a di Pisa

DOI: https://doi.org/10.5269/bspm.v20i1-2.7519

Keywords: Hausdorff extension, connections with the Stone-Cech compactification \betaX, Hausdorff extensions

Abstract

We introduce the notion of Hausdorff extension of an arbitrary set X and 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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Vol 20 No 1-2 (2002)

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