On Mon, Nov 30, 2009 at 02:28:57AM -0800, William Stein wrote:
> Hi,
> 
> I've posted a new version of the compmath proposal here:
> 
>     http://wstein.org/grants/compmath09/project_summary.pdf
>     http://wstein.org/grants/compmath09/project_description.pdf
>     http://wstein.org/grants/compmath09/references_cited.pdf
> 
> This is basically the final version, though I could probably fix some
> typos.  So if you read it and see typos, let me know.   If you see
> anything technically seriously wrong/stupid, also let me know.
> 

I have a couple of comments on the topology section.

1. I don't understand the first sentence: "Sage currently has fairly
sophisticated support for topology, and we would like to push both
further."  What does "both" refer to?  Both Sage and topology?  It
sounds weird.

2. "homotopy theorists only care about 1-dimensional formal group
laws".  This is true to some extent due to the applications they have
in mind, but I think that recent work by Mark Behrens and others on
topological automorphic forms involves higher-dimensional fgl's.

3. "In general, we intend to implement free modules, projective
modules, and injective modules over arbitrary rings, and we intend to
implement resolutions and derived functors. Where possible, we also
intend to implement methods of computing resolutions"
my comment here: excellent!!!  this will also be great to have for
improving the algebraic geometry functionality!


Good luck!
Alex



-- 
Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
-- Australia -- http://www.ms.unimelb.edu.au/~aghitza/

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