Document Type
Article
Publication Date
4-1-2007
Publication Title
Journal of Pure and Applied Algebra
Abstract
We identify the long exact sequence induced on rational homotopy groups by the evaluation map ω: map(X, Y ; f)→Y and in particular the rationalization of the evaluation subgroups off, in terms of derivations of Quillen models and adjoint maps. We consider a generalization of a question of Gottlieb within the context of rational homotopytheory. We also study the rationalization of the G-sequence of a map. In a separate result of independent interest, we give an explicit Quillen minimal model of a product A×X, in the case in which A is a rational co-H-space.
Repository Citation
Lupton, Gregory and Smith, Samuel Bruce, "Rationalized Evaluation Subgroups of A Map II: Quillen Models and Adjoint Maps" (2007). Mathematics and Statistics Faculty Publications. 228.
https://engagedscholarship.csuohio.edu/scimath_facpub/228
DOI
10.1016/j.jpaa.2006.05.018
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
209
Issue
1
