Hi! On 4 Feb., 21:18, Mike Hansen <mhan...@gmail.com> wrote: ... > On a less direct note, from scanning the conversation Simon links to, > the construction he describes is not the Rips complex, but rather the > Cech complex (which is defined as the nerve of the collection of > discs). In persistent homology Rips complex is used more commonly > since it's much easier to compute and in a certain (precise) sense > approximates the Cech complex, but the two are not the same.
Oops, sorry, I didn't actually work with the Rips or the Cech complex myself, although some of what I do in the cohomology of finite groups is (morally) inspired by persistent homology of point cloud data. And from some talks on the latter, I recall the name "Rips", on the one hand, and the definition of the Cech complex, on the other hand. So, this is how I got confused... > I do not pretend to understand Eli's original problem, so I don't know > if this indeed is the best solution, but that's a quick survey of the > various complexes that may be useful for Sage. I think a more reasonable suggestion in this thread eventually was to use formulae from physics and fit the parameters with the data. Anyway. I really think Sage could use more topology related tools. And since Dionysos comes with Python bindings, I think it would be a nice project to combine with Sage. Cheers, Simon -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
