Lecture 4: Compact Metric Spaces

[@ChrisRossaroDidatticaDigitale]

2:19 For a general metric space topologically compactness implies closure and boundedness and not viceversa.

[@red1bk190]

Thanks for mentioning, because it confused me. I find it strange no one in the lectures is asking any questions about it.

[@BorisTreukhov]

Thank you so much for publishing these lectures I always wanted to reorganize my knowledge regarding different compactess notions!
Any plans on topology classes?

[@DutchMathematician]

@12:10:
I think she made a logical thinking error here.
Not totally bounded means (negating the definition), that...
'there exists an ε>0' such that for all finite sets of y1, ..., yk (etc., keep negating).
It should, however, not start with 'for every ε>0'.

[@shawan7089]

Please make a course on number theory and abstract algebra

[@SphereofTime]

0:22

[@vremiavremiavremiavremia0617]

😊😊😊😊😊😊😊😊😊😊😊😊😊