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A new representation of the Dedekind completion of  -spaces
Author(s):
Z.
Ercan;
S.
Onal
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3317-3321.
MSC (2000):
Primary 46A40;
Secondary 46B42, 54B42
Posted:
May 9, 2005
MathSciNet review:
2161155
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Abstract:
A new representation of the Dedekind completion of  is given. We present a necessary and sufficient condition on a compact Hausdorff space  for which the Dedekind completion of  is  , the space of real valued bounded functions on some set  .
References:
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Additional Information:
Z.
Ercan
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
zercan@metu.edu.tr
S.
Onal
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
osul@metu.edu.tr
DOI:
10.1090/S0002-9939-05-07889-5
PII:
S 0002-9939(05)07889-5
Keywords:
Riesz spaces,
Dedekind completion
Received by editor(s):
November 30, 2003
Received by editor(s) in revised form:
June 21, 2004
Posted:
May 9, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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