The classification of weighted projective spaces
Volume 220 / 2013
Fundamenta Mathematicae 220 (2013), 217-226
MSC: Primary 55P15; Secondary 14M25, 55P60, 57R18.
DOI: 10.4064/fm220-3-3
Abstract
We obtain two classifications of weighted projective spaces: up to hoeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by proving that the Mislin genus of any weighted projective space is rigid.
