Lusternik-Schnirelmann category of stunted quasi-projective spaces

Abstract

We determine the L-S category of stunted quasi-projective space $Q_{n,m}=Q_{n}/Q_{m}$ for $n\leq 4m+3$. As a special case of our main result, the L-S category of $Q_{3}$ is determined to satisfy cat $Q_{3}=3$, which answers the question raised by Fernández-Suárez, Gómez-Tato and Tanré [4].