Izvestiya. Mathematics, Tome 10 (1976) no. 6, pp. 1239-1260
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A. D. Gavrilov. Effective computability of rational homotopy type. Izvestiya. Mathematics, Tome 10 (1976) no. 6, pp. 1239-1260. http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a4/
@article{IM2_1976_10_6_a4,
author = {A. D. Gavrilov},
title = {Effective computability of rational homotopy type},
journal = {Izvestiya. Mathematics},
pages = {1239--1260},
year = {1976},
volume = {10},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a4/}
}
TY - JOUR
AU - A. D. Gavrilov
TI - Effective computability of rational homotopy type
JO - Izvestiya. Mathematics
PY - 1976
SP - 1239
EP - 1260
VL - 10
IS - 6
UR - http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a4/
LA - en
ID - IM2_1976_10_6_a4
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%0 Journal Article
%A A. D. Gavrilov
%T Effective computability of rational homotopy type
%J Izvestiya. Mathematics
%D 1976
%P 1239-1260
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%N 6
%U http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a4/
%G en
%F IM2_1976_10_6_a4
In this paper the author proves the effective computability of a certain functor constructed by Quillen from the category of simply connected cell complexes to the category of free differential graded Lie algebras over the field of rational numbers. Bibliography: 6 titles.
[1] Quillen D., “Rational homotopy theory”, Ann. Math., 90:2 (1969), 205–295 | DOI | MR | Zbl
[2] Quillen D., Homotopical algebra, Lect. Not. in Math., 43, Springer, Berlin, 1967 | MR | Zbl
[3] Adams J. F., “On the cobar construction”, Proc. Nat. Acad. Sci. USA, 42 (1956), 409–419 | DOI | MR
[4] Milnor, “Moore Hopf Algebras”, Ann. Math., 81 (1965), 211–264 | DOI | MR | Zbl
[5] Smith L., Lectures on the Eilenberg–Moore spectral sequence, Lect. Not. Math., 134, 1970 | MR
[6] Sullivan D., “Differential forms and the topology of manifolds”, Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973), Univ. Tokyo Press, Tokyo, 1975, 37–49 | MR
