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Umble, Ronold N.
2011.
Higher Structures in Geometry and Physics.
Vol. 287,
Issue. ,
p.
343.
Published online by Cambridge University Press: 20 November 2018
We consider the number of spaces, up to rational homotopy equivalence, which have rational cohomology algebra isomorphic to that of stunted complex projective space . Using a classification theory due to Schlessinger and Stasheff, we determine the number of rational homotopy types with rational comology algebra isomorphic to , for any given n and k. The necessary computations make use of a spectral sequence introduced by the second named author.