Add to ORKGAbstract. For m � n> 0, a map f between pointed spaces is said to be a weak [n, m]-equivalence if f induces isomorphisms of the homotopy groups πk for n � k � m. Associated with this notion we give two different closed model category structures to the category of pointed spaces. Both structures have the same class of weak equivalences but different classes of fibrations and therefore of cofibrations. Using one of these structures
The concept of model category is due to Quillen [1]. It represents an axiomatic aproach to homotopy ...
For each n > 1 and each multiplicative closed set of integers S, we study closed model category stru...
AbstractLet S+n denote the n-sphere with a disjoint basepoint. We give conditions ensuring that a ma...
For m >= n > 0, a map f between pointed spaces is said to be a weak [n,m]-equivalence if f induces i...
AbstractWe prove that if a category has two Quillen closed model structures (W1,F1,C1) and (W2,F2,C2...
AbstractWe show that any category that is enriched, tensored, and cotensored over the category of co...
Model categories have been an important tool in algebraic topology since rst de ned by Quillen. Giv...
Let G be discrete group and F be a collection of subgroups of G. We show that there exists a left in...
Abstract. The purpose of this note is to understand the two out of three property of the model categ...
Our main result states that for each finite complex L the category TOP of topological spaces possess...
We introduce a fibre homotopy relation for maps in a cate-gory of cofibrant objects equipped with a ...
For each integer n > 1 and a multiplicative system S of non-zero integers, we give a distinct closed...
Abstract. In the present article we describe constructions of model structures on general bicomplete...
Abstract. In the present article we describe constructions of model structures on general bicomplete...
The concept of model category is due to Quillen [1]. It represents an axiomatic aproach to homotopy ...
The concept of model category is due to Quillen [1]. It represents an axiomatic aproach to homotopy ...
For each n > 1 and each multiplicative closed set of integers S, we study closed model category stru...
AbstractLet S+n denote the n-sphere with a disjoint basepoint. We give conditions ensuring that a ma...
For m >= n > 0, a map f between pointed spaces is said to be a weak [n,m]-equivalence if f induces i...
AbstractWe prove that if a category has two Quillen closed model structures (W1,F1,C1) and (W2,F2,C2...
AbstractWe show that any category that is enriched, tensored, and cotensored over the category of co...
Model categories have been an important tool in algebraic topology since rst de ned by Quillen. Giv...
Let G be discrete group and F be a collection of subgroups of G. We show that there exists a left in...
Abstract. The purpose of this note is to understand the two out of three property of the model categ...
Our main result states that for each finite complex L the category TOP of topological spaces possess...
We introduce a fibre homotopy relation for maps in a cate-gory of cofibrant objects equipped with a ...
For each integer n > 1 and a multiplicative system S of non-zero integers, we give a distinct closed...
Abstract. In the present article we describe constructions of model structures on general bicomplete...
Abstract. In the present article we describe constructions of model structures on general bicomplete...
The concept of model category is due to Quillen [1]. It represents an axiomatic aproach to homotopy ...
The concept of model category is due to Quillen [1]. It represents an axiomatic aproach to homotopy ...
For each n > 1 and each multiplicative closed set of integers S, we study closed model category stru...
AbstractLet S+n denote the n-sphere with a disjoint basepoint. We give conditions ensuring that a ma...