#18725: Topological manifolds: morphisms
-------------------------------------+-------------------------------------
       Reporter:  egourgoulhon       |        Owner:  egourgoulhon
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.11
      Component:  geometry           |   Resolution:
       Keywords:  topological        |    Merged in:
  manifolds                          |    Reviewers:
        Authors:  Eric Gourgoulhon   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  bc770598e606904fb28179960cd8121d30939978
  public/manifolds/top_manif_morphisms|     Stopgaps:
   Dependencies:  #18640, #18175     |
-------------------------------------+-------------------------------------
Changes (by egourgoulhon):

 * milestone:  sage-6.10 => sage-6.11


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 `TopologicalManifoldHomset` 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
> `TopologicalManifoldPoint.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].

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 `TopologicalManifoldHomset` 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 `ManifoldPoint.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:23>
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