#17096: Implement categories for filtered algebras
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  categories         |   Resolution:
       Keywords:  filtered algebras  |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/categories/filtered_algebras-17096|  
9d567ea2aaa030f51dbf2e966c8584bd2d8489ee
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by darij):

 I have rewritten the doc to convey *my* understanding of your classes. It
 will probably have typos and wrong references -- sorry for that, I just
 can't manage to keep looking at sage categories for longer than a couple
 hours --, but if you see something that looks seriously wrong to you,
 chances are I have misunderstood your code and we need to discuss it over.
 I suspect I am not done with this patch either way, but I am going to
 return to tableaux and polytopes for a week or so.

 Also, there are two doctests failure that this patch incurs for some weird
 reason:
 {{{
 sage -t src/sage/categories/category_with_axiom.py
 **********************************************************************
 File "src/sage/categories/category_with_axiom.py", line 2513, in
 sage.categories.category_with_axiom.CategoryWithAxiom_singleton
 Failed example:
     C.FiniteDimensional()
 Expected:
     Category of finite dimensional connected test objects over base ring
 over Ring of integers modulo 2
 Got:
     Category of finite dimensional test objects over base ring over Ring
 of integers modulo 2
 **********************************************************************
 File "src/sage/categories/category_with_axiom.py", line 2515, in
 sage.categories.category_with_axiom.CategoryWithAxiom_singleton
 Failed example:
     C.Connected()
 Expected:
     Category of connected test objects over base ring over Ring of
 integers modulo 2
 Got:
     Category of test objects over base ring over Ring of integers modulo 2
 **********************************************************************
 }}}

 Also, an easy one:
 {{{
 sage -t src/sage/categories/category.py
 **********************************************************************
 File "src/sage/categories/category.py", line 2627, in
 sage.categories.category.category_graph
 Failed example:
     sage.categories.category.category_graph().plot()
 Expected:
     Graphics object consisting of 312 graphics primitives
 Got:
     Graphics object consisting of 324 graphics primitives
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/17096#comment:17>
Sage <http://www.sagemath.org>
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