Classifying weighted projective spaces

Details Classifying weighted projective spaces Classifying weighted projective spaces

2011-08-09

arxiv.org/abs/1108.1938v3

Mathematics

Algebraic Topology

7 pages; reference to Al Amrani added

Scientific paper

We obtain two classifications of complex weighted projective spaces, up to
homeomorphism and up to homotopy equivalence. The first turns out to coincide
with Al Amrani's classification up to isomorphism of algebraic varieties, and
the second follows from our proof that the Mislin genus of any weighted
projective space is rigid.

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