On the algebraic K-theory of higher categories

We prove that Waldhausen K-theory, when extended to a very general class of quasicategories, can be described as a Goodwillie differential. In particular, K-theory spaces admit canonical (connective) deloopings, and the K-theory functor enjoys a simple universal property. Using this, we give new, hi...

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Bibliographic Details
Main Author: Barwick, Clark Edward
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Oxford University Press - London Mathematical Society 2017
Online Access:http://hdl.handle.net/1721.1/110187