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Rational Homotopy Types with the Rational Cohomology Algebra of Stunted Complex Projective Space
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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