Timeline for Decomposition vs filtration vs stratification
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6 events
| when toggle format | what | by | license | comment | |
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| Sep 8, 2014 at 10:17 | comment | added | Ronnie Brown | You should be interested in the comments of Grothendieck in section 5 of his "Esquisse d-un Programme" (1984) (matematicas.unex.es/~navarro/res/esquisseeng.pdf) which criticises the notion of topological space as inadequate for geometry, and discusses stratifications. See my preprint page pages.bangor.ac.uk/~mas010/brownpr.html for slides of a talk in June in Paris discussing the use of filtrations to define a strict cubical higher homotopy groupoid. | |
| Sep 8, 2014 at 0:47 | answer | added | Vidit Nanda | timeline score: 5 | |
| Sep 7, 2014 at 21:53 | comment | added | Qiaochu Yuan | For stratifications there is the notion of a Whitney stratification (en.wikipedia.org/wiki/Whitney_conditions). | |
| Sep 7, 2014 at 20:26 | comment | added | Dan Ramras | One area of literature where overlapping pieces in "decompositions" is standard is metric geometric, e.g. the notion of "finite decomposition complexity". | |
| Sep 7, 2014 at 20:19 | comment | added | Dan Ramras | I'm sure that at least casually, I have talked about the Mayer-Vietoris sequence as something obtained from a decomposition of a space. So I do not think of the pieces of a decomposition as being disjoint. | |
| Sep 7, 2014 at 20:15 | history | asked | Qfwfq | CC BY-SA 3.0 |