#18175: Implement categories for topological and metric spaces and related
categories
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  new
       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:                     |  95a30aa57fc62f23a884790b57835d107d8bdeef
  public/categories/topological_metric_spaces-18175|     Stopgaps:
   Dependencies:  #18174 #17160      |
-------------------------------------+-------------------------------------
Description changed by egourgoulhon:

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] (#14865) 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:

 - complex
 - compact
 - differentiable
 - smooth

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:31>
Sage <http://www.sagemath.org>
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