AbstractWe describe a version of obstruction theory for simplicial sets, which involves canonical obstruction cocycles and then use this to obtain a similar theory for diagrams of simplicial sets. An application of the latter (to the problem of realizing diagrams in the homotopy category by means of diagrams of simplicial sets) will be given in [4]
AbstractLet D be a category and E a class of morphisms in D. In this paper we study the question of ...
AbstractSimplicial spaces are analogues in the category of spaces of chain complexes (i.e., resoluti...
ABSTRACT. This paper displays an approach to the construction of the homotopytheory of simplicial se...
AbstractWe describe a version of obstruction theory for simplicial sets, which involves canonical ob...
SummaryThis notes describes an obstruction theory for the category SO-Cat of simplicial categories w...
AbstractThe homotopy theory of simplical groups is well known [2, Ch. VI] to be equivalent to the po...
AbstractThe homotopy theory of simplical groups is well known [2, Ch. VI] to be equivalent to the po...
AbstractMany examples of obstruction theory can be formulated as the study of when a lift exists in ...
AbstractLet S be the category of simplicial sets, let D be a small category and let SD denote the ca...
AbstractFunctorial path groupoids P(X) are constructed for each simplicial set X generalizing the lo...
AbstractFor the categories of pointed spaces, pointed simplicial sets and simplicial groups and for ...
AbstractA simplicial scheme is a certain structure which can be defined on graphs. The purpose of th...
AbstractIn [6] Quillen showed that the singular functor and the realization functor have certain pro...
ABSTRACT. In this paper we use Quillen’s model structure given by Dwyer-Kan for the category of simp...
We prove that a homotopy cofinal functor between small categories induces a weak equivalence between...
AbstractLet D be a category and E a class of morphisms in D. In this paper we study the question of ...
AbstractSimplicial spaces are analogues in the category of spaces of chain complexes (i.e., resoluti...
ABSTRACT. This paper displays an approach to the construction of the homotopytheory of simplicial se...
AbstractWe describe a version of obstruction theory for simplicial sets, which involves canonical ob...
SummaryThis notes describes an obstruction theory for the category SO-Cat of simplicial categories w...
AbstractThe homotopy theory of simplical groups is well known [2, Ch. VI] to be equivalent to the po...
AbstractThe homotopy theory of simplical groups is well known [2, Ch. VI] to be equivalent to the po...
AbstractMany examples of obstruction theory can be formulated as the study of when a lift exists in ...
AbstractLet S be the category of simplicial sets, let D be a small category and let SD denote the ca...
AbstractFunctorial path groupoids P(X) are constructed for each simplicial set X generalizing the lo...
AbstractFor the categories of pointed spaces, pointed simplicial sets and simplicial groups and for ...
AbstractA simplicial scheme is a certain structure which can be defined on graphs. The purpose of th...
AbstractIn [6] Quillen showed that the singular functor and the realization functor have certain pro...
ABSTRACT. In this paper we use Quillen’s model structure given by Dwyer-Kan for the category of simp...
We prove that a homotopy cofinal functor between small categories induces a weak equivalence between...
AbstractLet D be a category and E a class of morphisms in D. In this paper we study the question of ...
AbstractSimplicial spaces are analogues in the category of spaces of chain complexes (i.e., resoluti...
ABSTRACT. This paper displays an approach to the construction of the homotopytheory of simplicial se...
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