Timeline for What is the status of the PL-pseudoisotopy stability theorem?
Current License: CC BY-SA 3.0
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| Feb 16, 2013 at 6:10 | vote | accept | skupers | ||
| Feb 15, 2013 at 19:43 | comment | added | Allen Hatcher | I switched to the PL category to use the Alexander trick to avoid dealing with smooth local complications, but the PL category has its own subtleties which deserved more attention than I gave them. In any event, the last time I thought about these things, many years ago, I was optimistic that there were no insuperable barriers to fixing the PL proof. | |
| Feb 15, 2013 at 19:43 | comment | added | Allen Hatcher | Thanks for this very illuminating discussion. It's been years since I thought much about these things. I always intended to go back and fill in what was missing in my original proof and correct mistakes in it, but somehow I don't seem to getting any closer to doing this. Actually I would have preferred working in the smooth category from the start, but there were obstacles coming from the complexity of higher-codimension singularities of smooth real-valued functions. Igusa later showed how to avoid these obstacles, staying purely within the smooth category. (continued below) | |
| Feb 15, 2013 at 17:19 | history | edited | Tom Goodwillie | CC BY-SA 3.0 |
added 13 characters in body
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| Feb 15, 2013 at 3:27 | history | answered | Tom Goodwillie | CC BY-SA 3.0 |