#10963: More functorial constructions
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Reporter: nthiery | Owner: stumpc5
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.1
Component: categories | Resolution:
Keywords: days54 | Merged in:
Authors: Nicolas M. Thiéry | Reviewers: Simon King, Frédéric
Report Upstream: N/A | Chapoton
Branch: | Work issues:
public/ticket/10963 | Commit:
Dependencies: #11224, #8327, | eb7b486c6fecac296052f980788e15e2ad1b59e4
#10193, #12895, #14516, #14722, | Stopgaps:
#13589, #14471, #15069, #15094, |
#11688, #13394, #15150, #15506 |
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Comment (by vbraun):
Replying to [comment:483 nthiery]:
> - Ah, another thing about the above potential notations: having
> FiniteTest1 inherit from Test1 as idiom suggests that there is an
> *Is A* relation between the category of finite test1s and the
> category of test1s, which is wrong.
Can you be more specific what the problem is? A `finite_foo` is a `foo`,
but not the other way round. An immutable square is an immutable
rectangle.
> Similarly, having FiniteTest1
> inherit from axioms.Finite suggests that FiniteTest1 is an axiom,
> when it actually is a category.
`FiniteTest1` inherits first of all from `Category`. I presume you mean
`Finite2`, which cannot inherit from `Test2` because it is an inner class.
It could inherit directly from `Category` to make that clear(er), which I
tend to agree with.
> But back to the main point. As you said, the would-be
> category-with-axiom manager should support the current nested class
> syntax.
Except that the relations should be specified explicitly, as in e.g.
{{{#!python
category_axiom_model.add_relation(
[Rings(), axiom.Division(), axiom.Finite()],
[Fields(), axiom.Finite()],
description="Wedderburn's Theorem")
)
}}}
during the instantiation of either Rings or Fields
--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:484>
Sage <http://www.sagemath.org>
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