A Model Category Structure on the Category of Simplicial Multicategories
نویسندگان
چکیده
منابع مشابه
A Model Category Structure on the Category of Simplicial Multicategories
We establish a Quillen model structure on simplicial (symmetric) multicategories. It extends the model structure on simplicial categories due to J. Bergner [2]. We observe that our technique of proof enables us to prove a similar result for (symmetric) multicategories enriched over other monoidal model categories than simplicial sets. Examples include small categories, simplicial abelian groups...
متن کاملA Model Structure on the Category of Pro-simplicial Sets
We study the category pro-SS of pro-simplicial sets, which arises in étale homotopy theory, shape theory, and pro-finite completion. We establish a model structure on pro-SS so that it is possible to do homotopy theory in this category. This model structure is closely related to the strict structure of Edwards and Hastings. In order to understand the notion of homotopy groups for pro-spaces we ...
متن کاملA Simplicial Description of the Homotopy Category of Simplicial Groupoids
In this paper we use Quillen’s model structure given by Dwyer-Kan for the category of simplicial groupoids (with discrete object of objects) to describe in this category, in the simplicial language, the fundamental homotopy theoretical constructions of path and cylinder objects. We then characterize the associated left and right homotopy relations in terms of simplicial identities and give a si...
متن کاملOn the category of geometric spaces and the category of (geometric) hypergroups
In this paper first we define the morphism between geometric spaces in two different types. We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories, for instance $uu$ is topological. The relation between hypergroups and geometric spaces is studied. By constructing the category $qh$ of $H_{v}$-groups we answer the question...
متن کاملThe Model Category of Operads in Simplicial Sets
In §1.4, we briefly explained the definition of a natural model structure for simplicial (and topological) operads. In what follows, we also refer to this model structure as the projective model structure. The weak-equivalences (respectively, fibrations) are, according to this definition, the morphisms of operads which form a weak-equivalence (respectively, a fibration) in the base category of ...
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: Applied Categorical Structures
سال: 2012
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-012-9291-6