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A continuous function maps a convergent [[sequence]], [[net]], or [[filter]] to a convergent sequence, net, or filter, respectively.
A continuous function maps a convergent [[sequence]], [[net]], or [[filter]] to a convergent sequence, net, or filter, respectively.
A continuous function maps a [[compact space]] to a [[compact space]].
[[category: mathematics]]
[[category: mathematics]]
[[category: Topology]]
[[category: Topology]]