The classification of weighted projective spaces

Abstract

We obtain two classifications of weighted projective spaces; up to homeomorphism 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.

9 pages; new title, separate section on Mislin genus, minor changes

References in corpus (1)

• Weighted projective spaces and iterated Thom spaces

Cited by in corpus (5)

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• The homotopy classification of four-dimensional toric orbifolds
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