Timeline for Which manifolds are homeomorphic to simplicial complexes?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 23, 2022 at 12:43 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Mar 12, 2013 at 10:19 | comment | added | Jeffrey Giansiracusa | Ciprian Manolescu has just posted a paper in which he claims to prove that no such homology 3-sphere exists. arXiv:1303.2354 Pin(2)-equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture | |
| Apr 30, 2011 at 3:03 | comment | added | Paul | Yeah, acyclic PL manifold is clearer. | |
| Apr 29, 2011 at 20:29 | comment | added | algori | I've found the paper. Question settled: a "PL acyclic manifold" is the same as an acyclic PL manifold. | |
| Apr 29, 2011 at 20:17 | comment | added | algori | Paul -- I've accidentally stumbled upon this question. Thanks for your answer. Could you please clarify what "a PL acyclic" 4-manifold is. | |
| Nov 11, 2010 at 16:48 | vote | accept | Charles Rezk | ||
| Oct 29, 2010 at 1:31 | comment | added | Igor Belegradek | I take it back, Andy and Paul are right. By the way, the introduction to "The Hauptvermutung Book" explains this all in some detail: See maths.ed.ac.uk/~aar/books/haupt.pdf. | |
| Oct 29, 2010 at 1:06 | comment | added | Paul | No. "combinatorial triangulation" is synomymous with "PL structure". See the MR. You are probably mistaking it with the Kirby Siebenmann invariant, which is the obstruction to finding a PL structure on a Topological manifold. | |
| Oct 29, 2010 at 1:06 | comment | added | Andy Putman | @Igor : Galewski-Stern's theorem is definitely about noncombinatorial triangulations. | |
| Oct 29, 2010 at 0:59 | comment | added | Igor Belegradek | Your answer is about combinatorial triangulations. The question is about arbitrary ones. | |
| Oct 29, 2010 at 0:53 | history | answered | Paul | CC BY-SA 2.5 |