Abstract. We modify a classical construction of Bousfield and Kan [4] to define the Adams tower of a simplicial nonunital commutative algebra over a field k. We relate this construction to Radulescu-Banu’s cosimplicial resolution [13], and prove that all con-nected simplicial algebras are complete with respect to André-Quillen homology. This is a convergence result for the unstable Adams spectral sequence for commutative algebras over k. Let sC denote the simplicial model category [12] of simplicial non-unital commutative algebras over a field k, and let X be an object of sC. Radulescu-Banu [13] constructed a cosimplicial resolution X • of X by generalised Eilenberg-Mac Lane objects, and defined the completion of X with respect to André-Q...
AbstractWe give a characterization of the acyclicity of the second step of a Tate or simplicial reso...
We construct the Bousfield-Kan completion with respect to a triple, for a model category. In the poi...
Abstract: The simplicial objects in an algebraic category admit an abstract homotopy theory via a Qu...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.Cataloged fro...
AbstractIn this paper, we introduce a strategy for studying simplicial commutative algebras over gen...
In a previous work, by extending the classical Quillen construction to the non‐simply connected case...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
International audienceIn this paper, we first introduce the notion of a completion. Completions are ...
For a cofibrantly generated Quillen model category, we show that the cofibrant replacement functor c...
AbstractWe show that any closed model category of simplicial algebras over an algebraic theory is Qu...
AbstractIn this paper, we study Hochschild homology, cyclic homology and K-theory of commutative alg...
this paper is written simplicially, so "space" means "simplicial set". The detai...
With the development of Quillen's concept of a closed model category and, in particular, a simplicia...
For any finite simplicial complex K, Davis and Januszkiewicz defined a family of homotopy equivalent...
For any finite simplicial complex K, Davis and Januszkiewicz have defined a family of homotopy equiv...
AbstractWe give a characterization of the acyclicity of the second step of a Tate or simplicial reso...
We construct the Bousfield-Kan completion with respect to a triple, for a model category. In the poi...
Abstract: The simplicial objects in an algebraic category admit an abstract homotopy theory via a Qu...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.Cataloged fro...
AbstractIn this paper, we introduce a strategy for studying simplicial commutative algebras over gen...
In a previous work, by extending the classical Quillen construction to the non‐simply connected case...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
International audienceIn this paper, we first introduce the notion of a completion. Completions are ...
For a cofibrantly generated Quillen model category, we show that the cofibrant replacement functor c...
AbstractWe show that any closed model category of simplicial algebras over an algebraic theory is Qu...
AbstractIn this paper, we study Hochschild homology, cyclic homology and K-theory of commutative alg...
this paper is written simplicially, so "space" means "simplicial set". The detai...
With the development of Quillen's concept of a closed model category and, in particular, a simplicia...
For any finite simplicial complex K, Davis and Januszkiewicz defined a family of homotopy equivalent...
For any finite simplicial complex K, Davis and Januszkiewicz have defined a family of homotopy equiv...
AbstractWe give a characterization of the acyclicity of the second step of a Tate or simplicial reso...
We construct the Bousfield-Kan completion with respect to a triple, for a model category. In the poi...
Abstract: The simplicial objects in an algebraic category admit an abstract homotopy theory via a Qu...