#18725: Topological manifolds: morphisms
-------------------------------------+-------------------------------------
       Reporter:  egourgoulhon       |        Owner:  egourgoulhon
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  geometry           |   Resolution:
       Keywords:  topological        |    Merged in:
  manifolds                          |    Reviewers:
        Authors:  Eric Gourgoulhon   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  f8d3f273a52273bf4830ca99a651a43d57090ee4
  public/manifolds/top_manif_morphisms|     Stopgaps:
   Dependencies:  #18640, #18175     |
-------------------------------------+-------------------------------------
Changes (by egourgoulhon):

 * status:  new => needs_review
 * milestone:  sage-6.8 => sage-6.10


Old description:

> This ticket implements morphisms of topological manifolds, i.e.
> continuous maps between topological manifolds. This is a follow-up of
> #18640 within the [http://sagemanifolds.obspm.fr/ SageManifolds project].
> See the metaticket #18528 for an overview.
>
> Two new Python classes are introduced in this ticket:
> - the parent class `TopManifoldHomset` for sets Hom(M,N) of morphisms
> between two
>   topological manifolds M and N over the same topological field K
> - the element class `ContinuousMap` for elements of Hom(M,N), i.e.
> continuous maps M --> N
> Moreover, this ticket introduces plotting capabilities for charts (method
> `RealChart.plot()`) and for points (method `TopManifoldPoint.plot()`),
> which require continuous maps and thus could not have been introduced in
> #18529.

New description:

 This ticket implements morphisms of topological manifolds, i.e. continuous
 maps between topological manifolds. This is a follow-up of #18640 within
 the [http://sagemanifolds.obspm.fr/ SageManifolds project]. See the
 metaticket #18528 for an overview.

 Two new Python classes are introduced in this ticket:
 - the parent class `TopManifoldHomset` for sets Hom(M,N) of morphisms
 between two
   topological manifolds M and N over the same topological field K
 - the element class `ContinuousMap` for elements of Hom(M,N), i.e.
 continuous maps M --> N
 Moreover, this ticket introduces plotting capabilities for charts (method
 `RealChart.plot()`) and for points (method `TopManifoldPoint.plot()`),
 which require continuous maps and thus could not have been introduced in
 #18529.

 '''Documentation''':
 The reference manual is produced by
 `sage -docbuild reference/manifolds html`
 It can also be accessed online at
 http://sagemanifolds.obspm.fr/doc/18725/reference/manifolds/
 More documentation (e.g. example worksheets) can be found
 [http://sagemanifolds.obspm.fr/documentation.html here].

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18725#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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