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The Alexander Sphere

A path that is homoemorphic to a circle devides a compactified plane into two pieces (inside and outside). Arthur Schönflies proved in 1906 that in this situation the inside and outside are homoemo...  
 
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boring
itisme400 (3 weeks ago) Show Hide
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beautiful and obvious!! 5 stars!!!
biobrainshock (2 months ago) Show Hide
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awsome idea
atparn (2 months ago) Show Hide
+1
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is this the most unbreakable shit in the universe?
d3mo0 (2 weeks ago) Show Hide
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I guess so xD
ricklebalpickle (3 months ago) Show Hide
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the main issue is that theoretically you should both be able to get smaller and smaller, but also have a smallest distance. if you accept the concept of the planck length, then technically you would eventually be unable to tell whether or not they are touching because they would shrink to such a small size that it would be impossible to know if they even exist. there is no real life vs. theory because real life expectations are in themselves purely theoretical.
pokemonkiller20 (3 months ago) Show Hide
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randome
fender920521 (3 months ago) Show Hide
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itd be the other way around.

in real life they may touch, but theoretically they will never touch
zigero (4 months ago) Show Hide
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just the same like a mandel brot , another fractal structure, there will be always some space between them, even after billions of splits...
TheGodfatheroriginal (4 months ago) Show Hide
+1
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think about THAT next time your scratchin your butt!!!
lol

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