Re: Examples

F. Javier Thayer (
Fri, 17 Jun 1994 16:04:22 -0400

Certainly Trybulec's example requires a real tour-de-force in
metric space topology. Nevertheless, this example is certainly not one
to raise any interest among mathematicians. Why? Because one of the
main reasons paracompactness is a useful concept is that it allows us
to show partitions of unity exist. And the proof of this for the
really interesting cases (namely differentaible manifolds) is a lot