Hausdorff Nonstandard Extensions

Hausdorff Nonstandard Extensions

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 consi...

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Bibliographic Details
Main Authors: Vieri Benci, Mauro Di Nasso, Marco Forti
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2002-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Hausdorff extension
Stone-Cech compactification.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7519/4334

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