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Rational Homotopy Types with the Rational Cohomology Algebra of Stunted Complex Projective Space
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- Journal:
- Canadian Journal of Mathematics / Volume 44 / Issue 6 / 01 December 1992
- Published online by Cambridge University Press:
- 20 November 2018, pp. 1241-1261
- Print publication:
- 01 December 1992
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- Article
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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.
. 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.