#13125: Reals sets consisting of intervals and isolated points
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       Reporter:  ares               |        Owner:  Ares Ribó
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  calculus           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Volker Braun ,     |    Reviewers:  Ralf Stephan
  Jordi Saludes , Ares Ribó          |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  563a877c3d270be950aedb2e30c756f27f46051d
  u/vbraun/ticket/13125              |     Stopgaps:
   Dependencies:                     |
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Comment (by vbraun):

 I forgot that SR can also represent infinity and '''conversion''' to the
 infinity ring should work. For SR there is no coercion to the infinity
 ring since SR wants to handle its own infinities (in fact: the infinity
 ring coerces into SR).

 Arguably that should be changed and SR also coerce into the infinity ring
 instead of the other way round. But then SR wouldn't be able to react to
 things like `oo * x`. Downside of the current way is
 {{{
 sage: bool(SR(-1000) > oo), bool(SR(-1000) < oo)
 (False, False)
 }}}
 i.e. SR doesn't know how to decide this rather simple inequality. In any
 case, thats for another ticket.

--
Ticket URL: <http://trac.sagemath.org/ticket/13125#comment:41>
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