#10963: More functorial constructions
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Reporter: | Owner: stumpc5
nthiery | Status: needs_work
Type: | Milestone:
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers: Simon King
categories | Work issues: Reduce startup time by 5%. Avoid
Keywords: | "recursion depth exceeded (ignored)". Trivial
Authors: | doctest fixes.
Nicolas M. Thiéry | Dependencies: #11224, #8327, #10193, #12895,
Report Upstream: N/A | #14516, #14722, #13589
Branch: |
Stopgaps: |
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Comment (by SimonKing):
And a more general question we should answer: What is the semantics of
`super_categories()`?
It used to be like this, if I understood correctly: `C.super_categories()`
should return a list of all categories `S1, S2, ...` constructible in Sage
such that C is a proper sub-category of `S1, S2, ...` and there is no
category D '''constructible in Sage''' such that C is a proper sub-
category of D and D is a proper sub-category of any of the `S1, S2, ...`.
The problem with this old meaning of `C.super_categories()` is, of course,
that "constructible in Sage" is a moving target, and hence it won't scale.
Now it seems that you want to change the old semantics, and I wonder about
the exact definition of the new semantics.
It seems to me that you suggest the following: `C.super_categories()`
shall return categories `S1, S2, ...` such that C is a proper sub-category
of `S1, S2, ...`, and such that all "named classes" of C (i.e., results of
calls to `C._make_named_class(...)`) can be constructed from the
corresponding named classes of `S1, S2, ...` and from attributes of
`C.__class__` (for example, from `C.__class__.ParentMethods`)?
--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:60>
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