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Algebras realized by $ n$ rational homotopy types


Author: Gregory Lupton
Journal: Proc. Amer. Math. Soc. 113 (1991), 1179-1184
MSC: Primary 55P62; Secondary 16W50, 55P15
DOI: https://doi.org/10.1090/S0002-9939-1991-1073529-8
MathSciNet review: 1073529
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Abstract: I construct an example of a graded algebra that is realized as the rational cohomology algebra of exactly $ n$ rational homotopy types, for each natural number $ n$. The algebras constructed have trivial multiplicative structure. Similar examples are given of graded Lie algebras realized as the rational homotopy Lie algebra of exactly $ n$ rational homotopy types.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1073529-8
Keywords: Rational homotopy types, classification
Article copyright: © Copyright 1991 American Mathematical Society

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