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On some classes of Lindelöf Σ-spaces

✍ Scribed by Wiesław Kubiś; Oleg Okunev; Paul J. Szeptycki

Book ID
108286332
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
214 KB
Volume
153
Category
Article
ISSN
0166-8641

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📜 SIMILAR VOLUMES

Behaviour of the Lindelöf Σ-property in
Behaviour of the Lindelöf Σ-property in iterated function spaces
✍ 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