The classification of weighted projective spaces

Volume 220 / 2013

Anthony Bahri, Matthias Franz, Dietrich Notbohm, Nigel Ray Fundamenta Mathematicae 220 (2013), 217-226 MSC: Primary 55P15; Secondary 14M25, 55P60, 57R18. DOI: 10.4064/fm220-3-3


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.


  • Anthony BahriDepartment of Mathematics
    Rider University
    Lawrenceville, NJ 08648, U.S.A.
  • Matthias FranzDepartment of Mathematics
    University of Western Ontario
    London, ON N6A 5B7, Canada
  • Dietrich NotbohmDepartment of Mathematics
    Vrije Universiteit Amsterdam
    De Boelelaan 1081a
    1081 HV Amsterdam, The Netherlands
  • Nigel RaySchool of Mathematics
    University of Manchester
    Oxford Road
    Manchester M13 9PL, United Kingdom

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