Add to ORKGWe give an elementary proof of the Hurewicz theorem relating homotopy and homology groups of a cubical Kan complex. Our approach is based on the notion of a loop space of a cubical set, developed in a companion paper ``Homotopy groups of cubical sets'' by the first two authors.Comment: Math. Z. (to appear); 17 pages; minor revisio
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some ne...
AbstractBegin with a small category C. The goal of this short note is to point out that there is suc...
AbstractThe category of cubical sets with connections of Brown and Higgins is introduced as a possib...
We construct a functor associating a cubical set to a (simple) graph. We show that cubical sets aris...
We prove the Hurewicz theorem in homotopy type theory, i.e., that for $X$ a pointed, $(n-1)$-connect...
We prove the Hurewicz theorem in homotopy type theory, i.e., that for $X$ a pointed, $(n-1)$-connect...
In this talk we wish to demonstrate how a theory, developed entirely for the purpose of solving prob...
In this thesis we prove the Hurewicz theorem which states that the n-th homology and homotopy groups...
We define and study homotopy groups of cubical sets. To this end, we give four definitions of homoto...
We establish a Quillen equivalence between the Kan-Quillen model structure and a model structure, de...
In this paper we study the classifying spaces of graph products of simplicial groups and connected H...
We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on...
The paper is devoted to homology groups of cubical sets with coefficients in contravariant systems o...
We prove that each of the model structures for ($n$-trivial, saturated) comical sets on the category...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some ne...
AbstractBegin with a small category C. The goal of this short note is to point out that there is suc...
AbstractThe category of cubical sets with connections of Brown and Higgins is introduced as a possib...
We construct a functor associating a cubical set to a (simple) graph. We show that cubical sets aris...
We prove the Hurewicz theorem in homotopy type theory, i.e., that for $X$ a pointed, $(n-1)$-connect...
We prove the Hurewicz theorem in homotopy type theory, i.e., that for $X$ a pointed, $(n-1)$-connect...
In this talk we wish to demonstrate how a theory, developed entirely for the purpose of solving prob...
In this thesis we prove the Hurewicz theorem which states that the n-th homology and homotopy groups...
We define and study homotopy groups of cubical sets. To this end, we give four definitions of homoto...
We establish a Quillen equivalence between the Kan-Quillen model structure and a model structure, de...
In this paper we study the classifying spaces of graph products of simplicial groups and connected H...
We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on...
The paper is devoted to homology groups of cubical sets with coefficients in contravariant systems o...
We prove that each of the model structures for ($n$-trivial, saturated) comical sets on the category...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some ne...
AbstractBegin with a small category C. The goal of this short note is to point out that there is suc...