#10963: Axioms and more functorial constructions
-------------------------------------+-------------------------------------
Reporter: nthiery | Owner: stumpc5
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-6.2
Component: categories | Resolution:
Keywords: days54 | Merged in:
Authors: Nicolas M. Thiéry | Reviewers: Simon King, Frédéric
Report Upstream: N/A | Chapoton
Branch: | Work issues: merge with #15801
public/ticket/10963-doc- | once things stabilize
distributive | Commit:
Dependencies: #11224, #8327, | 26fc3d2ced29fc27bf371fb8cb519dc004bb073e
#10193, #12895, #14516, #14722, | Stopgaps:
#13589, #14471, #15069, #15094, |
#11688, #13394, #15150, #15506, |
#15757, #15759, #15919 |
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Comment (by darij):
I've just lost a post I was trying to make by entrusting it to Firefox and
the fucking trac server. Well, it wasn't very interesting anyway.
Basically I've finished reading the `category_with_axiom.py` class-level
doc; I don't have much to comment on it (but please check my commits
because they can contain landmines). I have ignored the remarks about
`Category_singleton` because I have no idea what it is (if it is
important, it deserves to be at least mentioned in the primer -- but this
isn't related to #10963), and I didn't really understand the algorithm:
its recursive structure reminds me of Buchberger's, but I don't see where
the list of categories to join ever becomes smaller -- i.e. how redundancy
is removed; also, it probably would help to clarify if your ``Bs`` range
over all supercategories (proper, I assume?) or only the intermediate
ones. Is there a way to reword the algorithm in terms of semilattices
given by generators and relations, without any mention of categories and
Sage? I feel it would somewhat simplify understanding.
That said (and the comments on lag, memory leaks and the unclarity of
subcategories notwithstanding), the doc is still very well-written.
--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:605>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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