Gorenstein space with nonzero evaluation map
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Abstract:
Let $(A,d)$ be a differential graded algebra of finite type, if $H^*(A)$ is a Gorenstein graded algebra, then so is $A$. The purpose of this paper is to prove the converse under some mild hypotheses. We deduce a new characterization of Poincaré duality spaces as well as spaces with a nonzero evaluation map.References
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Additional Information
- H. Gammelin
- Affiliation: Département de Mathématiques, Université des Sciences et Technologies de Lille, 59655 Villeneuve D’Ascq, France
- Email: gammelin@gat.univ-lille1.fr
- Received by editor(s): December 2, 1996
- Published electronically: March 29, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 3433-3440
- MSC (1991): Primary 55P62
- DOI: https://doi.org/10.1090/S0002-9947-99-02092-9
- MathSciNet review: 1458300