Add to ORKGAbstract. In this paper we define a sequence of monads T(∞,n)(n ∈ N) on the cate-gory ∞-Gr of ∞-graphs. We conjecture that algebras for T(∞,0), which are defined in a purely algebraic setting, are models of∞-groupoids. More generally, we conjecture that T(∞,n)-algebras are models for (∞, n)-categories. We prove that our (∞, 0)-categories are bigroupoids when truncated at level 2
AbstractAfter a review of the concept of “monad with arities” we show that the category of algebras ...
Abstract. In this article we give a construction of a polynomial 2-monad from an operad and describe...
We develop a theory of model ∞-categories -- that is, of model structures on ∞-categories -- which p...
In this paper we define a sequence of monads T(∞, n)(n ε N) on the category ∞-Gr of ∞-graphs. We con...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
Empirical thesis.Bibliography: pages 120-121.Chapter 1. Introduction -- Chapter 2. Globular theories...
I introduce two closed model categories of (∞, n)-precategories in which the fibrant objects are pre...
I introduce two closed model categories of (∞, n)-precategories in which the fibrant objects are pre...
We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, empha...
We study the existence and left properness of transferred model structures for “monoid-like” objects...
AbstractWe consider the theory of operads and their algebras in enriched category theory. We introdu...
Abstract. We show that morphisms from n A∞-algebras to a single one are maps over an operad module w...
By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ...
In this article we give a construction of a polynomial 2-monad from an operad and describe the algeb...
By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ...
AbstractAfter a review of the concept of “monad with arities” we show that the category of algebras ...
Abstract. In this article we give a construction of a polynomial 2-monad from an operad and describe...
We develop a theory of model ∞-categories -- that is, of model structures on ∞-categories -- which p...
In this paper we define a sequence of monads T(∞, n)(n ε N) on the category ∞-Gr of ∞-graphs. We con...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
Empirical thesis.Bibliography: pages 120-121.Chapter 1. Introduction -- Chapter 2. Globular theories...
I introduce two closed model categories of (∞, n)-precategories in which the fibrant objects are pre...
I introduce two closed model categories of (∞, n)-precategories in which the fibrant objects are pre...
We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, empha...
We study the existence and left properness of transferred model structures for “monoid-like” objects...
AbstractWe consider the theory of operads and their algebras in enriched category theory. We introdu...
Abstract. We show that morphisms from n A∞-algebras to a single one are maps over an operad module w...
By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ...
In this article we give a construction of a polynomial 2-monad from an operad and describe the algeb...
By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ...
AbstractAfter a review of the concept of “monad with arities” we show that the category of algebras ...
Abstract. In this article we give a construction of a polynomial 2-monad from an operad and describe...
We develop a theory of model ∞-categories -- that is, of model structures on ∞-categories -- which p...