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ISSN: 0137-6934(p) 1730-6299(e)
 
Cohomology C∞-algebra and rational homotopy type
Tornike Kadeishvili1
Banach Center Publ. 85 (2009), 225-240
doi:10.4064/bc85-0-16

Abstract: 
In the rational cohomology of a 1-connected space a
structure of $C_{\infty}$-algebra is constructed and it is shown
that this object determines the rational homotopy type.

MSC (2000): Primary 55P62; Secondary 55S30.
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  1. A. Razmadze Mathematical Institute
    M. Aleksidze St. 1
    0193 Tbilisi, Georgia