Dear Dr. Rezaei
On Fri, Feb 02, 2007 at 09:29:50PM +0000, you wrote :
> Dear gap forum,
>
> I have two questions as following:
> Let G be a compact group
> (i) Let f(x)= \mu(C_G(x)) where \mu is Haar measure. Is f a
> continuous function?
> (ii) Let f(x)= \chi_a(x,y) where y \in G and a={(x,y) \in G^2 | xy=yx }.
> Is f a continuous function?
> I will be more grateful for any known results or references.
> Best regards,
> R. Rezaei
Please note that the GAP Forum is meant for questions related to GAP,
or at least problems that could be tackled with GAP. Yours however is
a purely theoretical question about topological groups, so the GAP
Forum is definitely not the right place for it.
Please read the page
http://www.gap-system.org/Contacts/Forum/forum.html
of the GAP website where this is clearly stated and where the
following text gives suggestions for better places (with links to
these) for your question:
----------------------------------------------------------------------
Other Fora
For theoretical questions on groups and related structures we like to
point to the Group-Pub-forum in which such questions are answered and
discussed by a large community of experts. We provide links to
further mathematical fora and to other addresses that we hope to be
useful for mathematicians on the page 'To Outside World'.
----------------------------------------------------------------------
Kind regards Joachim Neubueser
-------------------------------------
Prof. J.Neubueser
LDfM, RWTH Aachen
Germany
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