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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A remark on the homomorphism on $C(X)$


Authors: Z. Ercan and S. Onal
Journal: Proc. Amer. Math. Soc. 133 (2005), 3609-3611
MSC (2000): Primary 46J10, 46E25
Published electronically: June 28, 2005
MathSciNet review: 2163596
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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.


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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: http://dx.doi.org/10.1090/S0002-9939-05-07930-X
PII: S 0002-9939(05)07930-X
Keywords: Real compact, algebra homomorphism.
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.