Timeline for Mayer-Vietoris implies Excision
Current License: CC BY-SA 3.0
5 events
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May 23, 2012 at 2:40 | comment | added | Paul Siegel | In the category that really interests me, the objects are proper separable metric spaces and the morphisms are basically continuous quasi-isometries. I'm happy to assume that the proper separable metric spaces are also CW-complexes, but this might not help as much as usual since the morphisms are a little weird. | |
May 22, 2012 at 7:54 | comment | added | Fabian Lenhardt | Are you in the end interested in arbitrary spaces or only in CW-complexes? | |
May 22, 2012 at 5:17 | history | edited | Steven Landsburg | CC BY-SA 3.0 |
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May 22, 2012 at 4:56 | comment | added | Paul Siegel | I see your point. Interestingly enough, in the setting that motivated this question I have a functorial map $H_n(X) \to H_{n-1}(A \cap B)$ which fits into a Mayer-Vietoris-like sequence but I am having trouble proving the excision theorem directly and I was hoping there were some formal manipulations that would do the job. I'm working in a category a bit different from LCH, and probably I just need to think harder about that category. Thanks for the insight. | |
May 22, 2012 at 4:25 | history | answered | Steven Landsburg | CC BY-SA 3.0 |