s Compact Space

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a topological space is said to be ¿-compact if it is the union of countably many compact subspaces. A space is said to be ¿-locally compact if it is both ¿-compact and locally compact. Every compact space is ¿-compact, and every ¿-compact space is Lindelöf. The reverse implications do not hold, for example, standard Euclidean space is ¿-compact but not compact, and the lower limit topology on the real line is Lindelöf but not ¿-compact. In fact, the countable complement topology is Lindelöf but neither ¿-compact nor locally compact.

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Pagina's: 68, Paperback, Betascript Publishers