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sequentially compact space · Vinony

EntityQ1135427· pop 12· linked from 28 articles

sequentially compact space

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Topological space where every sequence has a convergent subsequence.

Connections

International Standard Book Number

topological space

limit of a sequence

axiom of choice

Bolzano–Weierstrass theorem

product topology

axiom of countable choice

Categories

Compactness (mathematics)Properties of topological spaces

What links here28 pages

Banach–Alaoglu theorem

Bolzano–Weierstrass theorem

Tychonoff's theorem

first uncountable ordinal

first-countable space

trivial topology

Lebesgue number

Eberlein–Šmulian theorem

Prokhorov's theorem

topological property

cofinite subset

countably compact space

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