Annali di Matematica Pura ed Applicata

, Volume 86, Issue 1, pp 15–23 | Cite as

Compactifications defined by means of generalized ultrafilters

  • Hugh Gordon


Given a suitable ring of bounded real-valued functions on a set X, the relationship between generalized ultrafilters and the usual compactification determined by the ring is studied. The classification of the ultrafilters as real or hyperreal is discussed.


Suitable Ring Usual Compactification 
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Copyright information

© Nicola Zanichelli Editore 1970

Authors and Affiliations

  • Hugh Gordon
    • 1
  1. 1.AlbangU.S.A.

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