Date: Apr 30, 2013 9:34 PM
Author: Brian Q. Hutchings
Subject: Minkowski was an otherwise-great geometer!
this is like, as if
Schroedinger's cat got out of the box, and
you found yourself inside of it.
Good kitty ?!?
> What properties of a space can you deduce purely from living 'inside
> the space'? Well, clearly, you can't deduce it's 'outside shape' to an
> arbitrary degree , as our blanket example illustrates . But , you can
> find out about it's 'intrinsic curvature' , something independent of
> the shape you fold it it . (a blanket is still a blanket, having the
> same 'internal geometry' no matter how you fold it)