AbstractWe give an algebraic proof of Loday's ‘Classification theorem’ for truncated homotopy types. In particular we give a precise construction of the homotopy catn-group associated to a pointed topological space which is based on the use of the internal fundamental groupoid functor together with Illusie's ‘total Dec’
This dissertation is concerned with the foundations of homotopy theory following the ideas of the ma...
Broadly speaking, algebraic topology consists of associating algebraic structures to topological spa...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractWe give an algebraic proof of Loday's ‘Classification theorem’ for truncated homotopy types....
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
This is a survey on the use of some internal higher categorical structures in algebraic topology and...
AbstractWe introduce a new model of connected (n+1)-types which consists of a subcategory of catn-gr...
AbstractWe introduce the notion of complexes in the category of small categories, generalizing the t...
for each integer n. Does it follow that X and Y are homotopy equivalent? Recall that X’“ ’ can be ob...
The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. Th...
The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. Th...
We build an endofunctor in the category of small categories along with the necessary structure on it...
This dissertation is concerned with the foundations of homotopy theory following the ideas of the ma...
Broadly speaking, algebraic topology consists of associating algebraic structures to topological spa...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractWe give an algebraic proof of Loday's ‘Classification theorem’ for truncated homotopy types....
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
This is a survey on the use of some internal higher categorical structures in algebraic topology and...
AbstractWe introduce a new model of connected (n+1)-types which consists of a subcategory of catn-gr...
AbstractWe introduce the notion of complexes in the category of small categories, generalizing the t...
for each integer n. Does it follow that X and Y are homotopy equivalent? Recall that X’“ ’ can be ob...
The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. Th...
The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. Th...
We build an endofunctor in the category of small categories along with the necessary structure on it...
This dissertation is concerned with the foundations of homotopy theory following the ideas of the ma...
Broadly speaking, algebraic topology consists of associating algebraic structures to topological spa...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
DOI
Add to ORKG