#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:                     |  e6076d2a41dbe5e3294c03a95e3e763e60d554ff
  public/categories/topological_metric_spaces-18175|     Stopgaps:
   Dependencies:  #18174 #17160      |
-------------------------------------+-------------------------------------

Comment (by tscrim):

 So then you'd do the diagram in comment:28, in contrast to your statement
 in comment:30? Or did you mean something different in comment:30? I can
 also make it so the hierarchy is dynamic, in that if '''k''' has
 characteristic p, then analytic does not imply smooth. The category
 hierarchy does not have to be static (for the record, these are not
 subclasses, but subcategories in the mathematical sense).

 I don't really care what the final hierarchy looks like, but I want it to
 be as mathematically correct as possible and you (and Michal) and Basile
 agree. (Although I do have a bias towards making things as general as
 possible.)

 As far as making them be axioms vs singleton categories, this is more of
 an implementation detail.

--
Ticket URL: <http://trac.sagemath.org/ticket/18175#comment:37>
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