Donald Stanley

In stable homotopy theory the thick subcategory theorem of Hopkins and Smith classifies thick subcategories of the triangulated category of p-torsion finite spectra. Unstably Bousfield classified nullity classes of p-torsion finite suspensions. We...

I will first give a gentle introduction to LS category and then review some of the progress that has been made over the last 10 years in connection with Iwase's counterexample to Ganea's conjecture. This will include many problems that are still open...