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Timeline for Linearized Waldhausen $K$-Theory

Current License: CC BY-SA 3.0

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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
Feb 4, 2015 at 22:42 history answered Qiaochu Yuan CC BY-SA 3.0