Timeline for Discrete Morse theory and existence of minimal complex
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2014 at 11:13 | comment | added | Jim Conant | @ViditNanda: it was an early paper, but it is so well written that I still think it's worth reading. The incorrect claim you are talking about has a footnote explaining that the announced proof (by other authors) has serious problems. I am not aware of any mistakes within the paper itself. | |
| Sep 23, 2014 at 3:58 | comment | added | Vidit Nanda | @JimConant That paper seems to have been written "too early". In particular, it contains the incorrect claim (Example 1.6) that the Whitehead group of $\mathbb{Z}\Pi$ for $\Pi$ a finite abelian group is trivial. The first counter-example is $\Pi = \mathbb{Z}/5$ whose whitehead group is $\mathbb{Z}/2$. | |
| May 25, 2014 at 3:41 | comment | added | Jim Conant | Milnor's paper on Whitehead torsion is also good. I don't know why that slipped my mind when I wrote this answer. | |
| Nov 11, 2010 at 15:43 | vote | accept | Priyavrat Deshpande | ||
| Oct 27, 2010 at 18:10 | comment | added | Petya | One can find a pdf-file with Cohen's book on the web as well as Rourke and Sanderson's "Introduction to Piecewise-Linear Topology". | |
| Oct 27, 2010 at 17:17 | comment | added | Ryan Budney | Rourke and Sanderson's "Introduction to Piecewise-Linear Topology" is also out of print, and is near impossible to find. Milnor's "Whitehead Torsion" article is available on-line, is quite terse and contains much essential information. I imagine between a books like Milnor's h-cobordism notes, Kosinski's book and Milnor's Whitehead torsion notes you could put together a reasonable course on the s-cobordism theorem. | |
| Oct 27, 2010 at 16:29 | comment | added | Jim Conant | Yes, that's a shame. Do you know of a good reference for simple-homotopy theory that's easier to find? | |
| Oct 27, 2010 at 15:00 | comment | added | Ryan Budney | Cohen's book is getting increasingly difficult to find. | |
| Oct 27, 2010 at 14:25 | history | answered | Jim Conant | CC BY-SA 2.5 |