#11200: Add fibration check to FanMorphism
---------------------------+------------------------------------------------
   Reporter:  novoselt     |          Owner:  mhampton          
       Type:  enhancement  |         Status:  needs_review      
   Priority:  major        |      Milestone:  sage-4.7.1        
  Component:  geometry     |       Keywords:  toric             
Work_issues:               |       Upstream:  N/A               
   Reviewer:               |         Author:  Andrey Novoseltsev
     Merged:               |   Dependencies:  #10140, #10882    
---------------------------+------------------------------------------------
Changes (by novoselt):

  * dependencies:  => #10140, #10882


Old description:

> The main point of this ticket is to add `FanMorphism.is_fibration`
> method.
>
> I have also added several related methods and adjusted
> containment/embedding methods of fans to accommodate sublattices and make
> their behaviour more uniform: now cone containment check is an attempt to
> embed the given cone into the fan.
>
> I have also started using `@cached_method` decorator since it is
> convenient and its speed and documentation issues should be resolved in
> the near future. Note, however, that some methods of fans still should
> use manual cache since they need to preprocess arguments first.
>
> Depends on #10882.

New description:

 The main point of this ticket is to add `FanMorphism.is_fibration` method.

 I have also added several related methods and adjusted
 containment/embedding methods of fans to accommodate sublattices and make
 their behaviour more uniform: now cone containment check is an attempt to
 embed the given cone into the fan.

 I have also started using `@cached_method` decorator since it is
 convenient and its speed and documentation issues should be resolved in
 the near future. Note, however, that some methods of fans still should use
 manual cache since they need to preprocess arguments first.

--

Comment:

 Rebased on top of new #10882.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11200#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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