Presentably symmetric monoidal ∞–categories are represented by symmetric monoidal model categories
نویسندگان
چکیده
منابع مشابه
Monads on Symmetric Monoidal Closed Categories By
Introduction. This note is concerned with "categories with internal horn and | and we shall use the terminology from the paper [2] by EIL~.NBERG and Kv.Imy. The result proved may be stated briefly as follows : a Y/--monad ("strong monad") on a symmetric monoidal closed category ~ carries two canonical structures as closed functor. I f these agree (in which case we call the monad commutative), t...
متن کاملSymmetric Monoidal Categories Model All Connective Spectra
The classical infinite loopspace machines in fact induce an equivalence of categories between a localization of the category of symmetric monoidal categories and the stable homotopy category of -1-connective spectra. Introduction Since the early seventies it has been known that the classifying spaces of small symmetric monoidal categories are infinite loop spaces, the zeroth space in a spectrum...
متن کاملIsomorphic Objects in Symmetric Monoidal Closed Categories
Isomorphic objects in symmetric monoidal closed categories† K O S T A D O Š E N ‡ and Z O R A N P E T R I Ć § ‡ University of Toulouse III, Institut de Recherche en Informatique de Toulouse, 118 route de Narbonne, 31062 Toulouse cedex, France and Mathematical Institute, Knez Mihailova 35, P.O. Box 367, 11001 Belgrade, Yugoslavia § University of Belgrade, Faculty of Mining and Geology, Djušina 7...
متن کاملTensor product for symmetric monoidal categories
We introduce a tensor product for symmetric monoidal categories with the following properties. Let SMC denote the 2-category with objects small symmetric monoidal categories, arrows symmetric monoidal functors and 2-cells monoidal natural transformations. Our tensor product together with a suitable unit is part of a structure on SMC that is a 2-categorical version of the symmetric monoidal clos...
متن کاملTensor and unit for symmetric monoidal categories
Let SMC denote the 2-category with objects small symmetric monoidal categories, 1cells symmetric monoidal functors and 2-cells monoidal natural transformations. It is shown that the category quotient of SMC by the congruence generated by its 2-cells is symmetric monoidal closed. 1 Summary of results Thomason’s famous result claims that symmetric monoidal categories model all connective spectra ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2017
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2017.17.3189