#13605: Partition options and cleanup partitions documentation
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       Reporter:  tscrim                      |         Owner:  sage-combinat
           Type:  enhancement                 |        Status:  new          
       Priority:  major                       |     Milestone:  sage-5.5     
      Component:  combinatorics               |    Resolution:               
       Keywords:  partition, options, output  |   Work issues:               
Report Upstream:  N/A                         |     Reviewers:               
        Authors:  Travis Scrimshaw            |     Merged in:               
   Dependencies:  #13074 #13762 #13840        |      Stopgaps:               
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Changes (by tscrim):

  * dependencies:  #13074 #13762 => #13074 #13762 #13840


Old description:

> Adding a `Partitions.options()` method which sets (globally) options for
> partitions as noted in #5439 -
> http://wiki.sagemath.org/combinat/Weirdness similar to
> `PermutationOptions()`. This will also affect tableau classes and
> friends. Additionally this will also clean up some of the
> documentation/code in the respective files.

New description:

 Adding a `Partitions.options()` method which sets (globally) options for
 partitions as noted in #5439 - http://wiki.sagemath.org/combinat/Weirdness
 similar to `PermutationOptions()`. This will also affect tableau classes
 and friends. Additionally this will also clean up some of the
 documentation/code in the respective files.

 -----

 Here's what is included in the patch:

 - Added partition and tableau options
 - Converted `Partition_class` to `Partition`
 - Converted `Partitions` into the category framework
 - Converted `IntegerListsLex` into the category framework
 - Renamed *katabolism to *catabolism
 - Moved construction functions for partitions `from_*` to
 `Partitions().from_*`.
 - Renamed `dominate()` to `dominated_partitions()` in `Partition`.

--

Comment:

 Almost ready for review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13605#comment:9>
Sage <http://www.sagemath.org>
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