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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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dougie200194 (1 week ago) Show Hide
+2
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i dont mean to sound crude or stupid but wat the hell is this!?
Greeneyeskater93 (2 weeks ago) Show Hide
+1
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i can do that with my fingers
lapk78 (1 month ago) Show Hide
 0
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finite volume, with infinite surface area? I don't understand the implications of what you've just said, but its very intriguing.
lapk78 (1 month ago) Show Hide
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I'm a greduate mathematics student currently taking a topology course. We haven't looked at anything like this, and the semester is almost finished. I wish that we did investigate things like this. Only point-set.
psilocyberspaceman (1 month ago) Show Hide
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boring
itisme400 (1 month ago) Show Hide
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beautiful and obvious!! 5 stars!!!
biobrainshock (3 months ago) Show Hide
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awsome idea
atparn (3 months ago) Show Hide
+1
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is this the most unbreakable shit in the universe?
d3mo0 (1 month ago) Show Hide
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I guess so xD
ricklebalpickle (4 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.

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