In the rational cohomology of a 1-connected space a structure of -algebra is constructed and it is shown that this object determines the rational homotopy type.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-16,
author = {Tornike Kadeishvili},
title = {Cohomology $C\_{$\infty$}$-algebra and rational homotopy type},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {225-240},
zbl = {1181.55012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-16}
}
Tornike Kadeishvili. Cohomology $C_{∞}$-algebra and rational homotopy type. Banach Center Publications, Tome 86 (2009) pp. 225-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-16/