Subject:
Re: 3 postings
From:
Jeffrey H Smith <jhs@math.purdue.edu>
Date:
Tue, 25 Jan 2005 11:34:47 -0500 (EST)
To:
Don Davis <dmd1@lehigh.edu>


JFC

These are standard results from the fifties and sixties. The space of
smooth maps is dense in the space of continuous functions and so the every
continuous family of maps can be approximated within epsilon by a smooth
family of maps. From which it follows that the space of smooth maps is
weak equivalent to the space of continuous maps.

Jeff Smith