Thanks Peter.  I agree that infinity in RR is a big problem.  For those 
following the discussion, Peter updated Trac ticket #11506 to reflect this 
concern and it is now marked as a critical bug.  

On Thursday, October 3, 2013 5:31:06 PM UTC-4, Peter Bruin wrote:
>
> Hello,
>
> from the perspective of the Riemann sphere it's a bit odd since  
>> CC(infinity,0), CC(0, infinity) and CC(infinity, infinity) are all distinct 
>> in sage, giving us 3 different complex infinities.
>>
>
> Here is another case of unexpected behaviour:
>
> sage: CC(I)+CC(Infinity)==CC(2*I)+CC(Infinity)
> False
> sage: CC(I+Infinity)==CC(2*I+Infinity)
> True
>
> See Trac tickets #14088, #11506 and #14857 for other reported problems 
> with various infinities.
>
> Peter
>
>

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