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

Autores

  • 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

Palavras-chave:

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

Resumo

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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Edição

v. 20 n. 1-2 (2002)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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