You can certainly have an unsigned infinity that is not complex.
If you have signed zeros, then
1/(-0) is negative infinity
1/(+0) is positive infinity
1/(0) is unsigned.

Or as previously stated you can think of the unsigned infinity as a
completion under division of the real line in some projective sense.

If you want to deal with infinity in some particular direction in the 
complex plane,
you could look at what Mathematica does.  Maxima is pretty much silent
on that matter.

Also if you want to look at models for computing with infinity, you could
look at the material that describes the uses of the IEEE 754 binary 
standard's
"infinity".

Or your could point to Maxima, not explain anything and say , uh, "What he 
said".
RJF



On Thursday, June 18, 2015 at 11:46:12 PM UTC-7, Ralf Stephan wrote:
>
> Calculus ahead, algebraists beware!
>
> Is Sage's unsigned_infinity intended to model complex infinity?
> If not, then two tickets will have to be revised before they get included,
> and a class for it created.
> If yes, then the documentation and behaviour on comparison doesn't fit.
>
> Which will it be?
>
> Regards,
> --
> Ce sont les microbes, qui auront le dernier mot. (Pasteur)
>

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