Some remarks concerning the Lindelöf property of the product of a Lindelöf space with the irrationals
✍ Scribed by K. Alster
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 383 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0166-8641
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📜 SIMILAR VOLUMES
We prove that if C p (X) is a Lindelöf Σ-space, then C p,2n+1 (X) is a Lindelöf Σ-space for every natural n. As a consequence, it is established that υC p C p (X) has the Lindelöf Σ-property. This answers Problem 47 of Arhangel'skiȋ (Recent Progress in General Topology, Elsevier Science, 1992). Anot
## 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