#10963: More functorial constructions
-------------------------------------+-------------------------------------
Reporter: nthiery | Owner: stumpc5
Type: enhancement | Status: needs_work
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: Detect and fix
public/ticket/10963 | Heisenbugs
Dependencies: #11224, #8327, | Commit:
#10193, #12895, #14516, #14722, | 5ccf253b17c151d8e773037ac634a64f84f03075
#13589, #14471, #15069, #15094, | Stopgaps:
#11688, #13394, #15150, #15506 |
-------------------------------------+-------------------------------------
Comment (by SimonKing):
Doing what I sketched above, Sage starts and I get these numbers:
{{{
sage: from sage.categories.category_with_axiom import
lazy_cls_attr_counter
sage: lazy_cls_attr_counter
{sage.categories.sets_cat.Sets.Infinite: 1,
sage.categories.commutative_rings.CommutativeRings: 2,
sage.categories.distributive_magmas_and_additive_magmas.AdditiveAssociative.AdditiveCommutative:
1,
sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative:
1,
sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative: 1,
sage.categories.additive_magmas.AdditiveUnital.AdditiveInverse: 1,
sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital: 1,
sage.categories.distributive_magmas_and_additive_magmas.AdditiveCommutative.AdditiveUnital:
1,
sage.categories.magmas.Magmas.Commutative: 1,
sage.categories.distributive_magmas_and_additive_magmas.AdditiveUnital.Associative:
1,
sage.categories.magmas.Unital.Inverse: 1,
sage.categories.magmas.Magmas.Unital: 1,
sage.categories.distributive_magmas_and_additive_magmas.AdditiveUnital.AdditiveInverse:
1,
sage.categories.commutative_algebras.CommutativeAlgebras: 2,
sage.categories.finite_fields.FiniteFields: 2,
sage.categories.finite_sets.FiniteSets: 2,
sage.categories.finite_enumerated_sets.FiniteEnumeratedSets: 2,
sage.categories.finite_semigroups.FiniteSemigroups: 2,
sage.categories.finite_monoids.FiniteMonoids: 2,
sage.categories.unital_algebras.UnitalAlgebras.WithBasis: 1,
sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets: 2}
}}}
but in the end, things seem to be correct, for example:
{{{
sage:
sage.categories.finite_semigroups.FiniteSemigroups._base_category_class_and_axiom
(sage.categories.semigroups.Semigroups, 'Finite')
sage:
sage.categories.finite_enumerated_sets.FiniteEnumeratedSets._base_category_class_and_axiom
(sage.categories.enumerated_sets.EnumeratedSets, 'Finite')
}}}
Hence, I think my approach solves the problem.
--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:255>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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