Topology
HW 9
Due Thursday, Nov 18
1. 7.37
2. Show that the one-point compactication of Z+ is homeomorphic with
the subspace cfw_0 cfw_1/n : n Z+ in R.
3. Suppose the assumption that X is Hausdor is dropped in the denition
of a one-point compactication.
Topology
HW 10
Due Thursday, Nov 30 (5:00PM)
1. 3.23
2. 3.26
3. Let f : X Y , with f (X ) = Y . There are three topologies in this
problem. One is TX , which is a given topology for X , one is TY , which is a
given topology for Y , and the third is Tf , w