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A broader view of the almost Lindelöf property

✍ Scribed by Themba Dube


Publisher
Springer
Year
2011
Tongue
English
Weight
269 KB
Volume
65
Category
Article
ISSN
0002-5240

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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