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Lindelöf space∗ yark† 2013-03-21 13:04:16 Definition A topological space is said to be Lindelöf if every open cover has a countable subcover. Notes A second-countable space is Lindelöf. A compact space is Lindelöf. A regular Lindelöf space is normal. Fσ sets in Lindelöf spaces are Lindelöf. Continuous images of Lindelöf spaces are Lindelöf. A Lindelöf space is compact if and only if it is countably compact. ∗ hLindelofSpacei created: h2013-03-21i by: hyarki version: h31226i Privacy setting: h1i hDefinitioni h54D20i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
