Geodesic
On mappings of a~sphere to a~simply connected space with finitely generated homotopy groups
Algebra i analiz, Tome 16 (2004) no. 4, pp. 153-192.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{AA_2004_16_4_a8,
     author = {S. S. Podkorytov},
     title = {On mappings of a~sphere to a~simply connected space with finitely generated homotopy groups},
     journal = {Algebra i analiz},
     pages = {153--192},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2004_16_4_a8/}
}
TY  - JOUR
AU  - S. S. Podkorytov
TI  - On mappings of a~sphere to a~simply connected space with finitely generated homotopy groups
JO  - Algebra i analiz
PY  - 2004
SP  - 153
EP  - 192
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2004_16_4_a8/
LA  - ru
ID  - AA_2004_16_4_a8
ER  - 
%0 Journal Article
%A S. S. Podkorytov
%T On mappings of a~sphere to a~simply connected space with finitely generated homotopy groups
%J Algebra i analiz
%D 2004
%P 153-192
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2004_16_4_a8/
%G ru
%F AA_2004_16_4_a8
S. S. Podkorytov. On mappings of a~sphere to a~simply connected space with finitely generated homotopy groups. Algebra i analiz, Tome 16 (2004) no. 4, pp. 153-192. http://geodesic.mathdoc.fr/item/AA_2004_16_4_a8/

[1] Gelfand S. I., Manin Yu. I., Metody gomologicheskoi algebry, Nauka, M., 1988 | MR

[2] Matiyasevich Yu. V., Desyataya problema Gilberta, Nauka, M., 1993 | MR | Zbl

[3] Postnikov M. M., Lektsii po algebraicheskoi topologii: Osnovy teorii gomotopii, Nauka, M., 1984 | MR | Zbl

[4] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974

[5] Khein R. M., Iterirovannye integraly i problema gomotopicheskikh periodov, Nauka, M., 1988 | MR

[6] Adams J. F., Hilton P. J., “On the chain algebra of a loop space”, Comment. Math. Helv., 30 (1956), 305–330 | DOI | MR | Zbl

[7] Bousfield A. K. Kan D. M., Homotopy limits, completions and localizations, Lecture Notes in Math., 304, Springer-Verlag, Berlin–New York, 1972 | MR | Zbl

[8] Goerss P. G., Jardine J. F., Simplicial homotopy theory, Progr. Math., 174, Birkhäuser, Basel, 1999 | MR | Zbl

[9] Hatcher A., Algebraic topology, http://www.math.cornell.edu/~hatcher

[10] May J. P., Simplicial objects in algebraic topology, Van Nostrand Math. Stud., 11, van Nostrand, Princeton, NJ etc., 1967 | MR

[11] Milnor J. W., Moore J. C., “On the structure of Hopf algebras”, Ann. of Math. (2), 81 (1965), 211–264 | DOI | MR | Zbl

[12] Rector D. L., “Steenrod operations in the Eilenberg–Moore spectral sequence”, Comment. Math. Helv., 45 (1970), 540–552 | DOI | MR | Zbl