# Talk:Sequentially Compact Metric Space is Lindelöf

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This argument basically shows that a second-countable space is Lindelöf. Maybe this proof can be included as a second proof that a Second-Countable Space is Lindelöf, and this page can just be reduced to the statement that a Sequentially Compact Metric Space is Second-Countable and a second-countable space is Lindelöf? Abcxyz 00:37, 16 March 2012 (EDT)