SYMMETRIC OPERADS IN ABSTRACT SYMMETRIC SPECTRA
نویسندگان
چکیده
منابع مشابه
Homotopy Theory of Modules over Operads in Symmetric Spectra
We establish model category structures on algebras and modules over operads in symmetric spectra, and study when a morphism of operads induces a Quillen equivalence between corresponding categories of algebras (resp. modules) over operads.
متن کاملSymmetric Spectra
Introduction 150 Organization 152 Acknowledgments 152 1. Symmetric spectra 153 1.1. Simplicial sets 153 1.2. Symmetric spectra 154 1.3. Simplicial structure on Sp 156 1.4. Symmetric Ω-spectra 158 2. The smash product of symmetric spectra 159 2.1. Symmetric sequences 159 2.2. Symmetric spectra 162 2.3. The ordinary category of spectra 165 3. Stable homotopy theory of symmetric spectra 165 3.1. S...
متن کاملCorrigendum to “homotopy Theory of Modules over Operads in Symmetric Spectra”
Dmitri Pavlov and Jakob Scholbach have pointed out that part of Proposition 6.3, and hence Proposition 4.28(a), of [2] are incorrect as stated. While all of the main results of that paper remain unchanged, this necessitates modifications to the statements and proofs of a few technical propositions.
متن کاملPresheaves of symmetric spectra
The main theorem of [4] say that there is a proper closed simplicial model category structure on the category Spt of symmetric spectra, and that the associated homotopy category Ho(Spt) is equivalent to the stable category. This paper shows how to generalize this result to the category PreSpt(C) of presheaves of symmetric spectra on an arbitrary small Grothendieck site C. The reader will observ...
متن کاملA-local symmetric spectra
This paper is about importing the stable homotopy theory of symmetric spectra [4] and more generally presheaves of symmetric spectra [8] into the Morel-Voevodsky stable category [9], [11], [12]. Loosely speaking, the latter is the result of formally inverting the functor X 7→ T∧X on the category of pointed simplicial presheaves on the smooth Nisnevich site of a field within the Morel-Voevodsky ...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2018
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748017000202