Multiplicative linear functionals of continuous functions are countably evaluated
TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.1, ss.173-178, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 1
- Basım Tarihi: 2008
- Doi Numarası: 10.11650/twjm/1500602495
- Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.173-178
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.