Subject:
Re: two postings
From:
Nils Barth <nbarth@math.uchicago.edu>
Date:
Mon, 24 Jan 2005 11:32:29 -0600
To:
Don Davis <dmd1@lehigh.edu>

Jeff, density doesn't do it:
Q is dense in R, R2\0 is dense in R2,
but these aren't weak homotopy equivalent.

best,
  nils

Thus spake Jeff Smith:

>> Subject: Re: response and conf
>> From: Jeffrey H Smith <jhs@math.purdue.edu>
>> Date: Fri, 21 Jan 2005 10:00:00 -0500 (EST)
>> 
>> Come on guys, smooth fucntions are dense in continuous functions
>> and so the space of smooth maps is weak equivalent to the space
>> of continuous maps.
>> 
>> Jeff Smith
>> 

<re: boccellari's question whether homotopic smooth
 functions are smoothly homotopic>