Algebras realized by rational homotopy types

Author:
Gregory Lupton

Journal:
Proc. Amer. Math. Soc. **113** (1991), 1179-1184

MSC:
Primary 55P62; Secondary 16W50, 55P15

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 rational homotopy types, for each natural number . The algebras constructed have trivial multiplicative structure. Similar examples are given of graded Lie algebras realized as the rational homotopy Lie algebra of exactly rational homotopy types.

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1073529-8

Keywords:
Rational homotopy types,
classification

Article copyright:
© Copyright 1991
American Mathematical Society