Subject:
Re:Question
From:
adel george <adelgeorge1@yahoo.com>
Date:
Mon, 13 Dec 2004 05:56:14 -0800 (PST)
To:
dmd1@lehigh.edu

 
From:Dr.George,Adel A.
 
    I have the following 2 questions,please post it:
    
  1. Let Y be the inverse limit of the topological
spaces X(i) where the connecting maps are fibrations
.Let A(i):X(i)--->X be fibrations for  all i that
induce a map A:Y--->X.ALL the maps have locally
compact fibers.Is A a fibration?(fibrations are
Hurewitz fibrations).
  2. Let Y be the inverse limit of the paracompact
spaces X(i) where the connecting maps are perfect
(=closed with compact fibers)surjections.If the
covering dimension (=dim)for all X(i) is >n,I wish to
show that dimY>n.Is this known? where can I find a
proof?

       Are there some set theoretic conditions that
insure that an inverse limit is non-empty other than
the familiar 2 conditions stated in Bourbaki "Set
Theory"?
   
  Thank you.































































		
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