#17990: Matrix with Infinity
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Reporter: virmaux | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: calculus | Resolution:
Keywords: InfinityRing, | Merged in:
matrix, days64 | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | 270acabc1c9ab7ac116a188643fcc90a01c5043d
u/virmaux/matrix_with_infinity | Stopgaps:
Dependencies: |
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Comment (by tscrim):
Replying to [comment:10 mmezzarobba]:
> Replying to [comment:9 tscrim]:
> > For matrices with infinities, we want to construct a Coxeter matrix
without the current hack of representing `oo` with `-1` (in
`CoxeterMatrixGroup`), nor do we want to use the `SymbolicRing` as we feel
it is way too heavy-handed of a solution.
>
> So then I guess you need something like an "Alexandroff extension
functor" that you could apply to a Parent to adjoin it an element at
infinity, don't you?
If that means given an ordered set `S`, we can add an element `oo` such
that `x < oo` for all in `S`, then yes.
--
Ticket URL: <http://trac.sagemath.org/ticket/17990#comment:11>
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