Timeline for Morse matching with 0-cells and (n-1)-cells
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 2, 2013 at 18:45 | comment | added | Dan Ramras | Thanks for the nice answer, Vidit. It's easy to forget how useful the flow lines really are. Sometimes this gets lost in discussions of Forman-style discrete Morse theory. | |
| Jul 2, 2013 at 17:59 | history | edited | Vidit Nanda | CC BY-SA 3.0 |
Typo n --> p
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| Jul 2, 2013 at 16:53 | history | edited | Vidit Nanda | CC BY-SA 3.0 |
Dan's correction incorporated in last paragraph
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| Jul 2, 2013 at 16:51 | comment | added | Vidit Nanda | Thanks, Dan! I remember Mnev's correction of Biss's papers, and really should have kept it in mind. | |
| Jul 2, 2013 at 16:47 | comment | added | Dan Ramras | The statement in the last paragraph is rather famously false without some extra hypotheses (which are satisfied in this setting) . If you take the circle and write it as a union of two half-open arcs with empty intersection, you get a counterexample. This is the problem that was identified by Mnev in Biss's (faulty) proof of Macpherson's matroid Grassmannian conjecture. Here it's fine because you're talking about simplicial complexes. | |
| Jul 2, 2013 at 14:57 | history | answered | Vidit Nanda | CC BY-SA 3.0 |