#9972: Add fan morphisms
------------------------------------------------+---------------------------
   Reporter:  novoselt                          |       Owner:  mhampton  
       Type:  enhancement                       |      Status:  needs_info
   Priority:  major                             |   Milestone:  sage-4.6.1
  Component:  geometry                          |    Keywords:            
     Author:  Andrey Novoseltsev, Volker Braun  |    Upstream:  N/A       
   Reviewer:  Volker Braun, Andrey Novoseltsev  |      Merged:            
Work_issues:                                    |  
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Changes (by vbraun):

  * status:  needs_review => needs_info


Comment:

 Why is `preimage_cones` not the preimage of `image_cones`? This confuses
 me:
 {{{
 sage: cone =  f.image_cone( Cone([(1,0),(0,1)]) )
 sage: [ cone is f.image_cone(c) for c in f.preimage_cones(cone) ]
 [True, True, True, False, False, False]
 }}}
 I understand that it is working as documented, but it seems like it would
 be more useful to actually return the preimage cones. In other words, take
 preimage cones in the sense of fan morphisms and not in the sense of
 convex sets.

 If one is interested in all cones mapping geometrically into a given cone
 one could always construct the `Fan` of the (fan morphism) preimage cones.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9972#comment:53>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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