sequentially compact

sequentially compact
секвенциально компактный

Большой англо-русский и русско-английский словарь. 2001.

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  • Sequentially compact space — In mathematics, a topological space is sequentially compact if every sequence in the space has a convergent subsequence. Examples and Properties1. A metrizable space is sequentially compact if and only if it is compact. However, in general there… …   Wikipedia

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  • Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …   Wikipedia

  • Bolzano–Weierstrass theorem — In real analysis, the Bolzano–Weierstrass theorem is a fundamental result about convergence in a finite dimensional Euclidean space R^n. The theorem states that each bounded sequence in R^n has a convergent subsequence. An equivalent formulation… …   Wikipedia


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