a taste of topology

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I learned something crazy recently, you can use the Heine Borel Theorem (i.e Borel-Lebesgue Theorem) to characterize the "infinite dimensionality" of a vector space, if a closed and bounded set isn't compact, then your vector space cannot be finite dimensional. The theorem holds in R^n, so in finite dimensional vector spaces over R or C, but fails for something like l^2

mastershooter
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Clears up my confusión, always found topology hard . Thanks guru Doc 😂

BrendanLawlor-mn
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pi am😋
professor what about the chemistry you research?

ali