Rational Homotopy Types with the Rational Cohomology Algebra of Stunted Complex Projective Space

Lupton, Gregory ; Umble, Ronald

Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1241-1261

Résumé

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.

Détail

DOI : 10.4153/CJM-1992-074-3

Mots-clés : 55P62, 55P15, rational homotopy types, stunted complex projective space, realization, classification

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