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Heine–Borel theorem · Vinony

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EntityQ253214· pop 24· linked from 52 articles

Heine–Borel theorem

theorem about compact sets in Euclidean space

Connections

International Standard Book Number

rational number

Categories

Compactness theorems General topology Properties of topological spaces Theorems in real analysis

Sources

wikipedia.externallinksexternallink

digital object identifier

Entity

Karl Weierstraß

Johann Peter Gustav Lejeune Dirichlet

continuous function

Euclidean space

cauchy sequence

triangle inequality theorem

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extreme value theorem

Bolzano–Weierstrass theorem

Arzelà–Ascoli theorem

topologist's sine curve

complete metric space

locally compact space

totally bounded space

general topology

locally connected space

Arthur Moritz Schoenflies

reverse mathematics

Banach–Alaoglu theorem

least-upper-bound property