#18175: Implement categories for topological and metric spaces and related
categories
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: categories | Resolution:
Keywords: geometry, | Merged in:
topology, sd67 | Reviewers: Eric Gourgoulhon
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | f810aa668c8d0c74ec861e9ab307bedc7777036a
public/categories/topological_metric_spaces-18175| Stopgaps:
Dependencies: #18174 #17160 |
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Comment (by tscrim):
After much debate with myself, I ended up making the following:
{{{
Manifolds
|
Differentiable
|
Smooth
|
Analytic
/ \
Almost Complex
}}}
where `Complex` includes the holomorphic condition. I also added
"complete" as an axiom and made some rings/fields into the finer
categories they belong to (mainly `ZZ`, `QQ`, `RR`, `CC` into metric
spaces, since they have a well-established distinguished natural metric);
this allows the fields to work as the base of the manifold. If everyone
can live with the current setup for now, then a quick check of my changes
should yield a positive review (I hope).
--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:48>
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