Add to ORKGABSTRACT. As is pointed out in [Smith (1997)], in many applications of quasigroups isotopies and homotopies are more important than isomorphisms and homomorphisms. In this paper, the way homotopies may arise in the context of categorical quasigroup model theory is investigated. In this context, the algebraic structures are specified by diagram-based logics, such as sketches, and categories of models become functor categories. An idea, pioneered in [Gvaramiya & Plotkin (1992)], is used to give a constructio
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category...
Model theory has evolved in two sharply different directions. One is set-based, centred around pure ...
grantor: University of TorontoIn this thesis we explore some uncharted areas of the theory...
This book develops abstract homotopy theory from the categorical perspective with a particular focus...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
Model categories have been an important tool in algebraic topology since rst de ned by Quillen. Giv...
This book outlines a vast array of techniques and methods regarding model categories, without focuss...
AbstractIf a Quillen model category is defined via a suitable right adjoint over a sheafifiable homo...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
Our goal is to give a quick exposition of model categories by hitting the main points of the theory ...
There two major approaches to the problem of formalizing the notion of a "homotopy theory", they are...
AbstractIn this paper we propose an approach to homotopical algebra where the basic ingredient is a ...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
Closed model categories are a general framework introduced by Quillen [15] in which one can do homot...
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category...
Model theory has evolved in two sharply different directions. One is set-based, centred around pure ...
grantor: University of TorontoIn this thesis we explore some uncharted areas of the theory...
This book develops abstract homotopy theory from the categorical perspective with a particular focus...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
Model categories have been an important tool in algebraic topology since rst de ned by Quillen. Giv...
This book outlines a vast array of techniques and methods regarding model categories, without focuss...
AbstractIf a Quillen model category is defined via a suitable right adjoint over a sheafifiable homo...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
Our goal is to give a quick exposition of model categories by hitting the main points of the theory ...
There two major approaches to the problem of formalizing the notion of a "homotopy theory", they are...
AbstractIn this paper we propose an approach to homotopical algebra where the basic ingredient is a ...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
Closed model categories are a general framework introduced by Quillen [15] in which one can do homot...
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category...
Model theory has evolved in two sharply different directions. One is set-based, centred around pure ...
grantor: University of TorontoIn this thesis we explore some uncharted areas of the theory...