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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

Gregory Lupton  and
Ronald Umble
Gregory Lupton
Affiliation:
Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115, U.S.A.
Ronald Umble
Affiliation:
Department of Mathematics, Millersville University of Pennsylvania, Millersville, Pennsylvania 17551, U.S.A.
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Abstract

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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.

Keywords

55P6255P15rational homotopy typesstunted complex projective spacerealizationclassification
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1241 - 1261
Copyright
Copyright © Canadian Mathematical Society 1992

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