A remark on the homomorphism on $C(X)$
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- by Z. Ercan and S. Onal PDF
- Proc. Amer. Math. Soc. 133 (2005), 3609-3611 Request permission
Abstract:
Let $X$ be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on $C(X)$ is determined by a point.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
- Received by editor(s): July 12, 2004
- Received by editor(s) in revised form: July 30, 2004
- Published electronically: June 28, 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. 133 (2005), 3609-3611
- MSC (2000): Primary 46J10, 46E25
- DOI: https://doi.org/10.1090/S0002-9939-05-07930-X
- MathSciNet review: 2163596