A+ CATEGORY SCIENTIFIC UNIT

Cohomology $C_{\infty}$-algebra and rational homotopy type

Volume 85 / 2009

Tornike Kadeishvili Banach Center Publications 85 (2009), 225-240 MSC: Primary 55P62; Secondary 55S30. 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.

Authors

  • Tornike KadeishviliA. Razmadze Mathematical Institute
    M. Aleksidze St. 1
    0193 Tbilisi, Georgia
    e-mail

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