The rational homotopy Lie algebra of function spaces

Autores: Urtzi Buijs Martín , Aniceto Murillo Mas
Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 83, Nº 4, 2008, págs. 723-739
Idioma: inglés
DOI: 10.4171/cmh/141
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Resumen
- 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 p*(Y)