Configuration-Spaces and Iterated Loop-Spaces.
Graeme Segal (1973)
Inventiones mathematicae
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Graeme Segal (1973)
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W.-c. Hsiang, R.E. Staffeldt (1982)
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J.H. Conway (1985)
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Mark A. Ronan (1980)
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Jonathan D.H. Smith (1982)
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S. Halperin, Y. Félix, J.-M. Lemaire (1989)
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J.A. Thas, S.E. Payne, Van Maldeghem (1991)
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Pascal Lambrechts, Don Stanley (2008)
Annales scientifiques de l'École Normale Supérieure
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We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
C.A. McGibbon (1989)
Mathematische Zeitschrift
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L. Saumell (1991)
Mathematische Zeitschrift
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Paul Selick (1981)
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