A Combinatorial Tool for Computing the Effective Homotopy of Iterated Loop Spaces

  1. Romero, A. 2
  2. Sergeraert, F. 1
  1. 1 Joseph Fourier University
    info

    Joseph Fourier University

    Grenoble, Francia

    ROR https://ror.org/02aj0kh94

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Discrete and Computational Geometry

ISSN: 0179-5376

Año de publicación: 2015

Volumen: 53

Número: 1

Páginas: 1-15

Tipo: Artículo

DOI: 10.1007/S00454-014-9650-1 SCOPUS: 2-s2.0-84920074410 GOOGLE SCHOLAR

Otras publicaciones en: Discrete and Computational Geometry

Repositorio institucional: lockAcceso abierto Editor

Resumen

This paper is devoted to the Cradle Theorem. It is a recursive description of a discrete vector field on the direct product of simplices Δp × Δq endowed with the standard triangulation. The vector field provides an explicit deformation that is used to establish an algorithm for computing the Bousfield–Kan spectral sequence, more precisely to compute the homotopy groups (Formula presented) for G a 1-reduced simplicial abelian group.