Re: Complete bounded metric space
- From: The World Wide Wade <aderamey.addw@xxxxxxxxxxx>
- Date: Mon, 20 Oct 2008 18:09:29 -0700
In article
<489128a4-1c6e-4c71-bb47-cae286c2548b@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Carl R." <solrac140@xxxxxxxxxxx> wrote:
Let (X,d) be a complete bounded metric space and let G be the set of
all homeomorphisms from X onto itself.
Define a metric in G as follows:
D(f,g) = sup { d(f(x),g(x)) + d(f^(-1)(x), g^(-1)(x)) }
Prove that (G,D) is a complete metric space. Could you please give
some hints? I'm stuck.
You can't be totally stuck. Write a few sentences indicating you at
least know what you're trying to prove.
.
- References:
- Complete bounded metric space
- From: Carl R.
- Complete bounded metric space
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