Title of article :
Rationalized evaluation subgroups of a map I: Sullivan models, derivations and G-sequences
Author/Authors :
Gregory Lupton، نويسنده , , Samuel Bruce Smith، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
We identify the homomorphism induced on rational homotopy groups by the evaluation map image in terms of a map of complexes of derivations constructed directly from the Sullivan minimal model of f. This allows us to characterize the rationalized nth evaluation subgroup of f and, more generally, the rationalization of the so-called G-sequence of the map f. We use these results to study the G-sequence in the context of rational homotopy theory.
Journal title :
Journal of Pure and Applied Algebra
Journal title :
Journal of Pure and Applied Algebra