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/sci/ - Science & Math

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10726370 No.10726370 [Reply] [Original]

I've just noticed how depressing the Whitney embedding theorem is.
>tfw you'll never research a fantastical shape that is locally smoothly euclidean but can't be embedded in any euclidean space

>> No.10727501

>>10726370
>look how smart I am!!

You need some pussy, incel. And stop masturbating to cartoons.

>> No.10727542
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10727542

>>10726370
it's pretty sad really, you're right. i love messy topological counterexamples.
to be fair though it is nice how beautiful and wonderful manifolds are. they truly are special topological spaces. also tells you a lot about how much room there is in higher dimensions, more so than it tells you how well behaved manifolds can be.
there are more than enough topological spaces which are nasty. manifolds can be nice and diff geo and diff top will still be kind of messy and ugly in execution, in a great and very satisfying way.
>>10727501
oh fuck off brainlet, whitney embedding is an elementary fact known by pretty much anyone you find off the street

>> No.10727640

>>10727501
>he complains about people pretending to be smart
>on a board whose entire premise is pretending to be smart
>>10727542
>I love messy topological counterexamples
Truly, you are my nigga.