Algebras realized by $n$ rational homotopy types
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- by Gregory Lupton PDF
- Proc. Amer. Math. Soc. 113 (1991), 1179-1184 Request permission
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
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Additional Information
- © Copyright 1991 American Mathematical Society
- 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