Whitehead products in function spaces : Quillen model formulae

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概要

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• We study Whitehead products in the rational homotopy groups of a general component of a function space. For the component of any based map f : X→Y, in either the based or free function space, our main results express the Whitehead product directly in terms of the Quillen minimal model of f. These results follow from a purely algebraic development in the setting of chain complexes of derivations of differential graded Lie algebras, which is of interest in its own right. We apply the results to study the Whitehead length of function space components.

• 社団法人 日本数学会の論文
• 2010-01-01

著者

• Lupton Gregory

  Department Of Mathematics Cleveland State University

• SMITH Samuel

  Department of Mathematics Saint Joseph's University

• Smith Samuel

  Department Of Mathematics Saint Joseph's University

関連論文

• Whitehead products in function spaces : Quillen model formulae

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