> be topologist
> drinking coffee from coffee mug
> handle breaks off
> now coffee mug is not topologically equivalent, but you can still drink out of it
> later drop mug again and bottom breaks off
> now coffee mug is topologically equivalent to original coffee mug, but you can't drink coffee out of it
> MFW my life is a lie.
be topologist
>be theoretical physicist
>receive theoretical paycheck
1. do amphetamines
2. do some analysis
3. go to 1
...
Fuck your feelings. Stop feeling feels and start thinking logically, newfag.
>Veeky Forums
>logical
also logic is feelings bidcchch
autist
> t. David Hume
>equivalent
Nigger you're dumb.
...
They are homeo-morphic
A cylinder is not homeomorphic to a torus.
But the mug's walls have a certain width, so if you fatten them up you obtain a torus
>cylinder
use your imagination brainlet
Thats not taken into account in the usual analogy.
>topologist
Not math or science
the inside of the walls are filled in, so by "fattening," you would get a filled-in-torus, which is not a torus so it's not a homeomorphism? "tearing" in that way wouldn't even be continuous
was a funny anecdote though
lol
samefagging. but if you could tear spaces in that way then a normal coffee mug would be homeomorphic to a sphere with a handle, which seems obviously fucked up
you could have noticed that most drinking glasses are topologically equivalent to dinner plates
all the more reasons for studying riemannian geometry
>lee is a lee
it's rough being a topologist
that response is my response :')
t. engineering undergrad, get back to me when you realize that theoreticians care a great deal about how a theory feels