منابع مشابه
Operads in Iterated Monoidal Categories
The structure of a k-fold monoidal category as introduced by Balteanu, Fiedorowicz, Schwänzl and Vogt in [2] can be seen as a weaker structure than a symmetric or even braided monoidal category. In this paper we show that it is still sufficient to permit a good definition of (n-fold) operads in a k-fold monoidal category which generalizes the definition of operads in a braided category. Further...
متن کاملEnrichment over iterated monoidal categories
Joyal and Street note in their paper on braided monoidal categories [9] that the 2–category V –Cat of categories enriched over a braided monoidal category V is not itself braided in any way that is based upon the braiding of V . The exception that they mention is the case in which V is symmetric, which leads to V –Cat being symmetric as well. The symmetry in V –Cat is based upon the symmetry of...
متن کاملEnrichment as Categorical Delooping I: Enrichment Over Iterated Monoidal Categories
Joyal and Street note in their paper on braided monoidal categories [10] that the 2–category V–Cat of categories enriched over a braided monoidal category V is not itself braided in any way that is based upon the braiding of V. What is meant by “based upon” here will be made more clear in the present paper. The exception that they mention is the case in which V is symmetric, which leads to V–Ca...
متن کاملMonoidal Model Categories
A monoidal model category is a model category with a closed monoidal structure which is compatible with the model structure. Given a monoidal model category, we consider the homotopy theory of modules over a given monoid and the homotopy theory of monoids. We make minimal assumptions on our model categories; our results therefore are more general, yet weaker, than the results of [SS97]. In part...
متن کاملTraced pre-monoidal categories
Motivated by some examples from functional programming, we propose a generalisation of the notion of trace to symmetric premonoidal categories and of Conway operators to Freyd categories. We show that, in a Freyd category, these notions are equivalent, generalising a well-known theorem of Hasegawa and Hyland.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2003
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(03)00065-3