Timeline for Linearized Waldhausen $K$-Theory
Current License: CC BY-SA 3.0
3 events
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Feb 5, 2015 at 4:16 | comment | added | Tom Goodwillie | That's the formal picture, but I wanted to understand a certain part of it carefully, and I was hoping to do so by using technical details hinted at in that reference. I think I've sort of got it now. There is a functor that takes an abelian group with $\Omega X$-action and makes a 'family of abelian groups over $X$'. This has a left adjoint which I wish I had a better concrete grasp of. Put appropriate notions of weak equivalence and cell object on these two categories, and then show that the left adjoint induces an equivalence of $K$-theory. | |
Feb 5, 2015 at 3:23 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
added 133 characters in body
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Feb 4, 2015 at 22:42 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |