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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Citation Formats

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.