/sci/ - Science & Math

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Math
>>11541589
>>11541591
>>11543513
>>11545615
>>11549098

Physics
>>11547809 (Another anon and myself both seem to think there is not enough information given. I think the best you can do is find dV/V, but I could be wrong. Help this anon.)
>>11549774
>>11551032
>>11551832
>>11552272

Bio+Medicine
>>11551023

Stupid
>>11542479
>>11542483
>>11542657
>>11542664
>>11543405 (Did you have a question?)
>>11550225 :3
>>11551710
>>11551968
>>11552940

Hi frens! So you know how popmath youtubers say that two spaces are homeomorphic if one can be continuously deformed into the other.
I've come across the example of the single twist mobius band and the triple twist mobius band. They are homeomorphic, but in the way that they're embedded you cannot deform one into the other without cutting.
1. What are some other examples of this phenomena?
2. How would you rigorously justify that IF you can twist and turn one shape into the other, they are homeomorphic. I've been reading an algebraic topology textbook and a lot of arguments like this are used in the book. Given how many counterintuitive examples there are in topology, why would we expect that our intuitive notions of being able to transform one space into the other would formally imply the topological notion of a homeomorphism. Also, how would you formalize those arguments if you had to?
Thanks friends.

>>11377994
Who do you think set it on fire?

>>11377188
>hello, dubs department?

>>11337798
>why would I need a math major when I could let the computer do the math for me...
Based retard

Your fists are powerless against my mind!

>>11138115
>>11138262
>it's still fun to laugh at them sometimes
>, I agree that we can have a laugh to ourselves.
Smart people win competitions. Retards laugh at the smart people for not following slave morality of the plebs.
Laugh and cope all you want, you will never be anywhere near their level.