[GAP Forum] question

[Joachim Neubueser]

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'.
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Kind regards     Joachim Neubueser

-------------------------------------
Prof. J.Neubueser
LDfM, RWTH Aachen
Germany