- #1
JG89
- 728
- 1
I've shown that the unit square, [itex] [0,1]^2 [/itex], is a smooth 2-manifold in [itex] \mathbb{R}^2 [/itex]. But it has a corner at the point (1,1). I thought smooth manifolds weren't suppose to have corners, cusps, etc. So what exactly is special about the unit square?