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The Lindelöf property and the tightness of a locally convex space

✍ Scribed by L. B. Nakhmanson


Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
387 KB
Volume
47
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES


Behaviour of the Lindelöf Σ-property in
✍ V.V. Tkachuk 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 93 KB

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