#15618: convert_map should not be a map
-------------------------------------+-------------------------------------
       Reporter:  pbruin             |        Owner:
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-6.2
      Component:  coercion           |   Resolution:
       Keywords:  conversion map     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pbruin/15618-DefaultConvertMap   |  e772cb79d115b7ed494fc1ac4eaff9120da37711
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by pbruin):

 * commit:   => e772cb79d115b7ed494fc1ac4eaff9120da37711
 * branch:   => u/pbruin/15618-DefaultConvertMap


Comment:

 In the attached branch, I tried to make `DefaultConvertMap` return a
 morphism in the category of schemes with partial maps.  Unfortunately, a
 recent change in #14711 (where certain references in the coercion system
 were made into weak references) makes the map forget its parent `Homset`,
 and hence in which category it lives.

 Example (cf. the code producing the debugging output):
 {{{
 sage: ZZ.convert_map_from(CC)
 old parent = Set of Morphisms from Complex Field with 53 bits of precision
 to Integer Ring in Category of sets with partial maps
 new parent = Set of Homomorphisms from Complex Field with 53 bits of
 precision to Integer Ring
 Conversion map:
   From: Complex Field with 53 bits of precision
   To:   Integer Ring
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15618#comment:3>
Sage <http://www.sagemath.org>
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