JournalscmhVol. 83, No. 4pp. 723–739

The rational homotopy Lie algebra of function spaces

  • Urtzi Buijs

    Universidad de Málaga, Spain
  • Aniceto Murillo

    Universidad de Málaga, Spain
The rational homotopy Lie algebra of function spaces cover
Download PDF

Abstract

In this paper we fully describe the rational homotopy Lie algebra of any component of a given (free or pointed) function space. Also, we characterize higher order Whitehead products on these spaces. From this, we deduce the existence of H-structures on a given component of a pointed mapping space ℱ*(X,Y;f ) between rational spaces, assuming the cone length of X is smaller than the order of any non trivial generalized Whitehead product in π*(Y).

Cite this article

Urtzi Buijs, Aniceto Murillo, The rational homotopy Lie algebra of function spaces. Comment. Math. Helv. 83 (2008), no. 4, pp. 723–739

DOI 10.4171/CMH/141