http://homalg-project.github.io/CAP_project/

is the only thing that comes to mind.
GAP is a part of Sagemath, and so you can install the corr. packages there
(or in a stand-alone GAP)


On Mon, 3 Sep 2018, 20:57 Frank Zenter, <zent...@gmail.com> wrote:

> For teaching purposes, I look for a tool which allows the manipulation of
> functor-categories (toposes) indexed by finitely presented categories in
> order to illustrate the concepts “category”,“functor” and “natural
> transformation”. In particular, it should allow the construction of limits,
> colimits, Kan-extensions, function objects, subobject-classifyer etc. in
> such categories and all their relations (c.f. W. Lavwere:  [Conceptual
> mathematics](
> https://www.amazon.com/Conceptual-Mathematics-First-Introduction-Categories/dp/052171916X)
> ).
>
> Is there such a Sage-tool (similar to the ones for [differential geometry](
> http://doc.sagemath.org/html/en/reference/manifolds/index.html) or
> [algebraic topology](
> http://doc.sagemath.org/html/en/reference/homology/index.html)) or is one
> planned?
>
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