Hausdorff Nonstandard Extensions - doi: 10.5269/bspm.v20i1-2.7519
Benci, Vieri ; Forti, Marco ; Di Nasso, Mauro
Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5269/bspm.v20i1-2.7519 
@article{7519,
     title = {Hausdorff Nonstandard Extensions - doi: 10.5269/bspm.v20i1-2.7519},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {23},
     year = {2009},
     doi = {10.5269/bspm.v20i1-2.7519},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/7519}
}

Benci, Vieri; Forti, Marco; Di Nasso, Mauro. Hausdorff Nonstandard Extensions - doi: 10.5269/bspm.v20i1-2.7519. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v20i1-2.7519. http://gdmltest.u-ga.fr/item/7519/