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/sci/ - Science & Math

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9378011 No.9378011 [Reply] [Original]

Is point set topology even close to algebraic topology?

>> No.9378067

>>9378011
Oh shit, that's a real quote.

>> No.9378069

>>9378011
Use all tools available to you. Understanding things from different points of view is only good.

>> No.9378141

>>9378069
>>9378067
Thanks papis

>> No.9378203

>>9378067
No it isn't. It's just a bad translation, he meant set theory and he was right. We have category theory and HoTT.

>> No.9378309
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9378309

>> No.9378782
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9378782

>>9378011
https://link.springer.com/article/10.1007%2FBF03024067

>> No.9378803

>>9378011
of course it is. if you're talking about the basics (compactness, quotient spaces..), then it's absolutely necessary, it's like trying to do differential geometry without calculus. if you're talking about the fancier stuff (metrization theorems, tietze's theorem or whatever) then you don't need to remember everything to epsilon-delta, but do trust me that knowing an extra random fact from point-set topology never hurts.