<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

Resumen

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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