View source for Bolzano-Weierstrass theorem

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Each bounded sequence of real (or complex) numbers contains a convergent subsequence. It can be generalized to include more general objects, e.g. any bounded infinite set in $n$-dimensional Euclidean space has at least one limit point in that space. There exist analogues of this theorem for even more general spaces.

The theorem was demonstrated by B. Bolzano {{Cite|Bo}}; it was later also independently deduced by K. Weierstrass.

====References====
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|valign="top"|{{Ref|Bo}}||  B. Bolzano,   ''Abhandlungen der königlichen böhmischen Gesellschaft der Wissenschaften. v.''
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