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Jan 5, 2017 at 13:09 comment added Takahiro Waki >>3) Because dimension 4 has infinite differential structure?
Sep 1, 2011 at 6:40 comment added Ryan Budney @Jim: From Hillman's "Four-manifolds, Geometries and Knots", up to homeomorphism there are only 11 geometric 4-dimensional manifolds with finite fundamental group. In dimension 4 a finite-volume hyperbolic manifold's volume is a function of its Euler characteristic. I see those as having a fair bit of content. Sorry for being slow to reply.
Mar 13, 2011 at 17:44 comment added Jim Conant @Ryan: is the fact that geometry is less useful in high dimensions an empirical observation, or is there more mathematical content to this?
Feb 8, 2010 at 5:50 history answered Ryan Budney CC BY-SA 2.5