Week 4 homework, Math 446.
1. Give a complete proof that m+1 distinct points on the curve (x,x^2,..., x^m)  in  R^m
are affinely independant.
2. Formulate a precise definition of a cell-complex (see section 0.2.4). Make sure
your formulation works for examples that we have discussed, such as the torus
made from a square.
3. 0.3.2.[1,2]
4. Show that the 2-skeleton of the 5-simplex (the subset consisting of all triangles)
cannot be embedded in R^3 so that the embedding is affine on each triangle.