Is it possible to bend a sphere inside out without causing

>>8430585
Easy. Just work in a higher dimension.

>>8430585
https://www.youtube.com/watch?v=R_w4HYXuo9M

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>>8430601
>you can't use a real sphere you have to use a made up bullshit fake math sphere instead

>>8430585
No.

>>8430617
>>you can't use a real sphere you have to use a made up bullshit fake math sphere instead
OP didn't specify what kind of sphere.

>>8430617
>real sphere

>>8430601
This is why I believe topology is retarded

>>8430585
I think you mean a ball, not a sphere. A sphere implies no inner space, while a ball is hollow. You learn that in calc 3 so no worries.

>>8431705
You'd better google it before posting

>>8430585
This >>8430597 if you want an injection ("no self-intersections")

This >>8430601 if you only want a homotopy between two embeddings ("no sharp edges")

>>8431717
Nah that's how my text book defines it. I'm paraphrasing of course.

>>8431723
Yes, you're paraphrasing by switching a ball and a sphere :)

>>8430756
Statistics are retarded in the exact same way.

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>>8431724
Yeah my mistake. Now I feel like an ass

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>>8430756
>a mathematical operation on a purely mathematical object is the reason topology is retarded
>not the false dichotomy of "closed" and "open"
>not "clopen"
>not the use of "asymmetric" to refer to certain metrics
>not the persistent use of black magic proofs which use some theorem from real analysis that literally no one has ever heard of

go take a fucking topology class you weenie

>>8431985
Are you baiting here?

I have no idea what you mean by:
>not the false dichotomy of "closed" and "open"
>not the use of "asymmetric" to refer to certain metrics

>>8430756
You believe topology is retarded because you are a retard yourself who relies on pure intuition

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>>8431985
>not the persistent use of black magic proofs which use some theorem from real analysis that literally no one has ever heard of
Out of curiosity, can you give an example of these?

>>8432004
>he doesn't know about clopen sets
why are you even posting in this thread you impressively retarded shitstain

>>8431725
Las Vegas disagrees

>>8432389
Why do you imply I don't know clopen sets?
You/he said that that something called "false dichotomy" is a wrong thing. I wasn't sure why does he call it this way and what's retarded there. Of course there's no dichotomy between closed/open sets, and there are sets that are neither one.

>>8432443
Can you explain? (I'm not American)