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S Oct 14 at 15:59 history suggested Ali Taghavi
I add a tag
Oct 14 at 11:06 review Suggested edits
S Oct 14 at 15:59
Aug 26, 2010 at 19:12 answer added Sergio Rajsbaum timeline score: 4
Jul 18, 2010 at 7:56 answer added Robin Chapman timeline score: 2
Jul 10, 2010 at 6:03 comment added Kerry Oh, it is not for you. Maybe I should divide that into paragraphs. It's the second commenter.
Jul 9, 2010 at 11:44 comment added Anweshi I didn't mean to imply that there is a Poincare duality for fractals. In fact I know almost nothing about fractals. All I wanted to say was that there is an interesting proof of Poincare duality in terms of dual cells, and that it might interest you.
Jul 9, 2010 at 7:10 comment added Kerry Hi. I know Poincare duality. But I don't believe one can define singular homology successfully for fractals for the simple reason they they are not continuous objects. So maybe I should search on this before raising the question. The second part got deleted by Daniel's request. I don't enough on this to "edit", so I delete it.
Jul 9, 2010 at 6:49 vote accept Kerry
Jul 9, 2010 at 6:38 history edited Kerry CC BY-SA 2.5
Being urged by one of the commenters, the second paragraph was deleted
Jul 8, 2010 at 18:09 answer added Anirbit timeline score: 1
Jul 8, 2010 at 15:26 answer added Allen Hatcher timeline score: 14
Jul 8, 2010 at 14:53 comment added Anweshi While we are at it, the cubical definition and subdivision in Massey's "Singular homology theory" might be of interest, just to see that you don't need to use simplexes.
Jul 8, 2010 at 14:29 answer added Daniel Litt timeline score: 1
Jul 8, 2010 at 14:23 answer added Tom Goodwillie timeline score: 19
Jul 8, 2010 at 13:53 comment added Tom Goodwillie I think the OP has seen singular homology, and has seen the proof of the excision property in Hatcher's book.
Jul 8, 2010 at 13:39 answer added Jeff Strom timeline score: 3
Jul 8, 2010 at 13:12 comment added Johannes Hahn There is more to life (as an algebraic topologist) than simplicial homology. In particular fractals probably (depending on your understanding of this word) have homology groups. The keyword is singular homology which generalises simplicial homology (and other types of homology) to arbitrary topological spaces.
Jul 8, 2010 at 12:38 comment added Anweshi Poincare duality in terms of dual cell subdivision might be interesting for you.
Jul 8, 2010 at 12:33 history asked Kerry CC BY-SA 2.5