Estimating the rational LS-category of elliptic spaces
Estimating the rational LS-category of elliptic spaces
An elliptic space is one whose rational homotopy and rational cohomology are both finite dimensional. We prove, for Toomer’s invariant, two improvements of the estimate of the Mapping theorem relying on data from the homotopy Lie algebra of the space. In particular, we show that if $S$ is elliptic, \[ …