Multidimensional Bolzano Weierstraß

Описание к видео Multidimensional Bolzano Weierstraß

In this video, I prove the celebrated Bolzano-Weierstraß theorem in n dimensions, which says that a bounded sequence in R^n must have a convergent subsequence. This is the most important fact in analysis, and a lot of nice results follow from it

Bolzano-Weierstraß:    • The Bolzano Weierstraß Theorem  
Direct proof:    • Direct Bolzano Weierstraß  
Metric space playlist:    • Topology  

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