#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:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | 29a97a7919ce9847c1957111f08114b8947d52ec
public/categories/topological_metric_spaces-18175| Stopgaps:
Dependencies: #18174 #17160 |
-------------------------------------+-------------------------------------
Changes (by tscrim):
* status: new => needs_review
Old description:
> After a discussion at Sage Days 64, we decided to implement a variety of
> categories pertaining to geometry and topology to lend assistance to
> [http://sagemanifolds.obspm.fr SageManifolds] (#18528) and to generalize
> idioms in the hyperbolic geometry (#9439). This implements the following
> categories:
>
> - topological spaces
> - metric spaces
> - manifolds
> - CW complexes
> - simplicial complexes (which has been needed, see #10667, #6099)
> - Lie groups
>
> and axioms:
>
> - complex
> - compact
> - differentiable
> - smooth
New description:
After a discussion at Sage Days 64, we decided to implement a variety of
categories pertaining to geometry and topology to lend assistance to
[http://sagemanifolds.obspm.fr SageManifolds] (#18528) and to generalize
idioms in the hyperbolic geometry (#9439). This implements the following
categories:
- topological spaces
- metric spaces
- manifolds
- CW complexes
- simplicial complexes (which has been needed, see #10667, #6099)
- Lie groups
and axioms:
- real
- complex
- compact
- analytic
- differentiable
- smooth
- almost complex
--
Comment:
Given our discussion, I have reorganized the manifolds category as:
{{{
Manifolds
/ \
Complex Real
|
Differentiable
|
Smooth
/ \
Analytic AlmostComplex
}}}
I've added full doctest coverage and some examples. So ready for proper
review.
--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:33>
Sage <http://www.sagemath.org>
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