Geodesic
On the chain complex of an iterated loop space
Izvestiya. Mathematics, Tome 35 (1990) no. 2, pp. 445-455 
V. A. Smirnov. On the chain complex of an iterated loop space. Izvestiya. Mathematics, Tome 35 (1990) no. 2, pp. 445-455. http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a7/
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     title = {On the chain complex of an iterated loop space},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of co-$B$-construction for a coalgebra over an operad is considered. It is shown that the singular chain complex of the $n$-fold loop space over an $n$-connected space $X$ can be expressed, using this construction, in terms of the singular chain complex of $X$. Bibliography: 5 titles.

[1] Adams J. F., “On the cobar construction”, Colloque de topologie Algebrique, Louvin, 1956 | MR

[2] Milgram R. J., “Iterated loop spaces”, Annals of Mathematics, 84:3 (1966), 386–403 | DOI | MR | Zbl

[3] May J. P., The Geometry of Iterated Loop Spaces, Lecture Notes in Mathematics, 271, 1972 | MR | Zbl

[4] Khelaya L. G., “O nekotorykh tsepnykh operatsiyakh”, Soobsch. AN GSSR, 96:3 (1979), 529–532 | MR | Zbl

[5] Smirnov V. A., “Gomotopicheskaya teoriya koalgebr”, Izv. AN SSSR. Ser. matem., 49:6 (1985), 1302–1321 | MR | Zbl