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Metric σ-Frames versus Metric Lindelof Spaces

✍ Scribed by M. Vojdani Tabatabaie; M. Mahmoudi

Publisher
Springer
Year
2003
Weight
147 KB
Volume
26
Category
Article
ISSN
0129-2021

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📜 SIMILAR VOLUMES

Consequences of the failure of the axiom
Consequences of the failure of the axiom of choice in the theory of Lindelöf metric spaces
✍ Kyriakos Keremedis 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract We study within the framework of Zermelo‐Fraenkel set theory ZF the role that the axiom of choice plays in the theory of Lindelöf metric spaces. We show that in ZF the weak choice principles: (i) Every Lindelöf metric space is separable and (ii) Every Lindelöf metric space is second cou