On Jan 19, 5:44 am, David Joyner <wdjoy...@gmail.com> wrote:
> On Mon, Jan 19, 2009 at 1:40 AM, John H Palmieri <jhpalmier...@gmail.com> 
> wrote:
>
> You are not stepping on any toes AFAIK but doesn't the GAP package HAP
> implement something like this?http://www.gap-system.org/Packages/hap.html

This does seem to do homology of chain complexes, but nothing about
simplicial complexes.  There is also a different GAP package,

<http://linalg.org/gap.html>

but to install it you need the GNU Pascal compiler, and I decided that
I didn't want to install that.

> Maybe most of what he does requires a group action but there is this
> example:http://hamilton.nuigalway.ie/Hap/www/SideLinks/About/aboutTensorSquar...
> (Not that I know a lot about the subject but isn't this the
> kind of homology you are dealing with?) Anyway, he told me that there
> are some resolutions which are "exponentially slow" and some which
> are not so slow and I believe he has thought long and hard about
> computing such things as quickly as possible. So it might be worth a look
> if you don't know it already.

I think I'm doing things which are more naive: computing the homology
of a chain complex is simpler, conceptually, than computing the
homology of a specific space or group, because to do this you might be
able to first carefully choose a chain complex, then compute its
homology, and choosing the chain complex might require planning and
thought and things like that.  But I'll take a look at this.

> In any case, it's nice to have another version, especially in Python/Sage!

   John

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