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A new representation of the Dedekind completion of  -spaces |
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| Authors: | Z. Ercan S. Onal |
| Affiliation: | Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey ; Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
| 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  . |
| Keywords: | Riesz spaces Dedekind completion |
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