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Multiplicative linear functionals of continuous functions are countably evaluated
Date
2008-02-01
Author
ERCAN, ZAFER
Önal, Süleyman
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We prove that each nonzero algebra homomorphism pi : C(X) -> R is countably evaluated. This is applied to give a simple and direct proof (from the algebraic view) of the fact that each Lindelof space is realcompact.
Subject Keywords
Realcompact space
,
Riesz homomorphism
,
Algebra homomorphism
URI
https://hdl.handle.net/11511/46992
Journal
TAIWANESE JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.11650/twjm/1500602495
Collections
Department of Mathematics, Article
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Z. ERCAN and S. Önal, “Multiplicative linear functionals of continuous functions are countably evaluated,”
TAIWANESE JOURNAL OF MATHEMATICS
, pp. 173–178, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46992.