Timeline for Motivation/interpretation for Quillen's Q-construction?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 5 at 13:39 | history | edited | John Rognes | CC BY-SA 4.0 |
acknowledge Goodwillie's first-hand account
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| Jun 14, 2020 at 9:45 | comment | added | Noam Zimhoni | Another nice source for the details of the connection John Rognes talked about in the form of guided exercises is Weibel's K-Book chapter IV exercises 3.9,3.10,8.5,8.6. | |
| Dec 11, 2011 at 16:28 | comment | added | Tom Goodwillie | I seem to recall that in Segal's paper about Gamma-spaces he modestly describes what he is doing as developing some of Quillen's ideas about algebraic K-theory. | |
| Dec 11, 2011 at 16:26 | comment | added | Tom Goodwillie | Waldhausen's construction came after Quillen's. As it happens, in one of the few conversations I ever had with Quillen (this was in the mid-90s, in the course of a car ride from Cambridge to Providence) he asked me to tell him something about Waldhausen K-theory, and I remember telling him that the S. construction is related to his Q-construction by edgewise subdivision. | |
| Sep 30, 2010 at 19:52 | comment | added | Dan Ramras | I'd never heard that Quillen was aware of the S.-construction. On the other hand, it's very similar to Segal's construction of the Gamma-space associated to a category with sums, which Segal almost certainly learned from Quillen. So maybe in the end this isn't a huge surprise. But it does go a long way towards explaining where the Q-construction came from! | |
| Sep 30, 2010 at 17:59 | history | answered | John Rognes | CC BY-SA 2.5 |