a taste of topology

[@mastershooter64]

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

[@tristanb6149]

I proved that theorem during my topology course this semester and it's called Riesz's theorem which can be proved with Riesz's lemma. I was quite shocked too when I learned about it.

[@drpeyam]

I love that theorem :3

[@abs412000]

Love U Doc. Keep up the Good Work

[@BrendanLawlor-m5n]

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

[@doctorb9264]

The old Epsilon Ball trick !

[@ali48991]

pi am😋 professor what about the chemistry you research?