On the chain complex of an iterated loop space
Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 445-455
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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.
@article{IM2_1990_35_2_a7,
author = {V. A. Smirnov},
title = {On the chain complex of an iterated loop space},
journal = {Izvestiya. Mathematics },
pages = {445--455},
publisher = {mathdoc},
volume = {35},
number = {2},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a7/}
}
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/