Rational methods applied to sectional category and topological complexity
arXiv:1703.02791
Abstract
This survey is a guide for the non specialist on how to use rational homotopy theory techniques to get approximations of Farber's topological complexity, in particular, and of Schwarz's sectional category, in general.
Based on the survey talks given by the author in the Workshop on TC and Related Topics, held in Oberwolfach in March 2016. To appear in the AMS Contemporary Mathematics volume "Topological Complexity and Related Topics"