Consequences of the failure of the axiom
✍
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