An observation on realcompact spaces
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Abstract:
We give a characterization of realcompact spaces in terms of nets. By using the technique of this characterization we give easy proofs of the Tychonoff Theorem and the Alaoglu Theorem.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
- Received by editor(s): September 17, 2004
- Received by editor(s) in revised form: October 13, 2004
- Published electronically: July 19, 2005
- Communicated by: Joseph A. Ball
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 917-920
- MSC (2000): Primary 54D60
- DOI: https://doi.org/10.1090/S0002-9939-05-08012-3
- MathSciNet review: 2180910