Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Barwick C"'
Publikováno v:
Tunisian J. Math. 2 (2020) 97-146
We study the "higher algebra" of spectral Mackey functors, which the first named author introduced in Part I of this paper. In particular, armed with our new theory of symmetric promonoidal $\infty$-categories and a suitable generalization of the sec
Externí odkaz:
http://arxiv.org/abs/1505.03098
Autor:
Barwick, C.
Spectral Mackey functors are homotopy-coherent versions of ordinary Mackey functors as defined by Dress. We show that they can be described as excisive functors on a suitable infinity-category, and we use this to show that universal examples of these
Externí odkaz:
http://arxiv.org/abs/1404.0108
Autor:
Barwick, C.
Algebraic K-theory is the stable homotopy theory of homotopy theories, and it interacts with algebraic structures accordingly. In particular, we prove the Deligne Conjecture for algebraic K-theory.
Comment: 17 pages. Changes to exposition in res
Comment: 17 pages. Changes to exposition in res
Externí odkaz:
http://arxiv.org/abs/1304.4867
Autor:
Barwick, C.
Publikováno v:
Geom. Topol. 22 (2018) 1893-1959
In this paper we introduce the notion of an operator category and two different models for homotopy theory of $\infty$-operads over an operator category -- one of which extends Lurie's theory of $\infty$-operads, the other of which is completely new,
Externí odkaz:
http://arxiv.org/abs/1302.5756
Autor:
Barwick, C.
We prove that the K-theory of an exact quasicategory can be computed via a higher categorical variant of the Q construction. This construction yields a quasicategory whose weak homotopy type is a delooping of the K-theory space. We show that the dire
Externí odkaz:
http://arxiv.org/abs/1301.4725
Autor:
Barwick, C.
Publikováno v:
Compositio Mathematica 151 (2015) 2160-2186
We introduce a notion of exact quasicategory, and we prove an analogue of Amnon Neeman's Theorem of the Heart for Waldhausen K-theory.
Comment: 27 pages. Repaired botched proof of the main theorem
Comment: 27 pages. Repaired botched proof of the main theorem
Externí odkaz:
http://arxiv.org/abs/1212.5232
Autor:
Barwick, C., Kan, D. M.
We extend the Quillen Theorem Bn for homotopy fibers of Dwyer, et al. to similar results for homotopy pullbacks and note that these results imply similar results for zigzags in the categories of relative categories and k-relative categories, not only
Externí odkaz:
http://arxiv.org/abs/1208.1777
Autor:
Barwick, C.
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 univ
Externí odkaz:
http://arxiv.org/abs/1204.3607
Autor:
Barwick, C., Kan, D. M.
In this note we consider partial model categories, by which we mean relative categories that satisfy a weakened version of the model category axioms involving only the weak equivalences. More precisely, a partial model category will be a relative cat
Externí odkaz:
http://arxiv.org/abs/1102.2512
Autor:
Barwick, C., Kan, D. M.
We introduce, for every positive integer n, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e. homotopy theories of ... of homotopy t
Externí odkaz:
http://arxiv.org/abs/1102.0186