Sullivan's Minimal Models and Higher Order Whitehead Products
Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 961-982

Voir la notice de l'article provenant de la source Cambridge University Press

The theory of minimal models, as developed by Sullivan [6; 8; 16] gives a method of computing the rational homotopy groups of a space X (that is, the homotopy groups of X tensored with the additive group of rationals Q). One associates to X a free, differential, graded-commutativelgebra , over Q, called the minimal model of X, from which one can read off the rational homotopy groups of X.
Andrews, Peter; Arkowitz, Martin. Sullivan's Minimal Models and Higher Order Whitehead Products. Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 961-982. doi: 10.4153/CJM-1978-083-6
@article{10_4153_CJM_1978_083_6,
     author = {Andrews, Peter and Arkowitz, Martin},
     title = {Sullivan's {Minimal} {Models} and {Higher} {Order} {Whitehead} {Products}},
     journal = {Canadian journal of mathematics},
     pages = {961--982},
     year = {1978},
     volume = {30},
     number = {5},
     doi = {10.4153/CJM-1978-083-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-083-6/}
}
TY  - JOUR
AU  - Andrews, Peter
AU  - Arkowitz, Martin
TI  - Sullivan's Minimal Models and Higher Order Whitehead Products
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 961
EP  - 982
VL  - 30
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-083-6/
DO  - 10.4153/CJM-1978-083-6
ID  - 10_4153_CJM_1978_083_6
ER  - 
%0 Journal Article
%A Andrews, Peter
%A Arkowitz, Martin
%T Sullivan's Minimal Models and Higher Order Whitehead Products
%J Canadian journal of mathematics
%D 1978
%P 961-982
%V 30
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-083-6/
%R 10.4153/CJM-1978-083-6
%F 10_4153_CJM_1978_083_6

[1] 1. Arkowitz, M., Whitehead products as images of Pontrjagin products, Trans. Amer. Math. Soc. 158 (1971), 453–463. Google Scholar

[2] 2. Arkowitz, M., Localization and H-spaces, Aarhus Universitet Mathematisk Institut, Lecture Notes Series No. 44 (1976). Google Scholar

[3] 3. Arkowitz, M. and Curjel, C. R., Zum Begriff der H-Raumes mod j∼ ‘ , Archiv der Math. 16 (1965), 186–190. Google Scholar

[4] 4. Barry, J., Higher order Whitehead products and fibred Whitehead products, Thesis, Dartmouth College (1972). Google Scholar

[5] 5. Bourbaki, N., Elements of mathematics. Algebra I, Chapters 1–3 (Hermann/Addison- Wesley). Google Scholar

[6] 6. Deligne, P., Griffiths, P., Morgan, J., and Sullivan, D., Real homotopy theory of Kahler manifolds, Invent. Math. 29 (1975), 245–274. Google Scholar

[7] 7. Dold, A., Lectures on algebraic topology (Springer-Verlag, 1972). Google Scholar

[8] 8. Friedlander, E., Griffith, P. and Morgan, J., Homotopy theory and differential forms, Seminario di Geometria 1972, (Firenze). Google Scholar

[9] 9. Hilton, P., Mislin, H. and Roitberg, J., Localization of nil potent groups and spaces, Notas de Mathematica 15 (North Holland/American Elsevier, 1975). Google Scholar

[10] 10. Hu, S., Homotopy theory (Academic Press, 1959). Google Scholar

[11] 11. Marcus, M. and Mine, H., Introduction to linear algebra (Macmillan, 1965). Google Scholar

[12] 12. Porter, G., Higher order Whitehead products, Thesis, Cornell University (1963). Google Scholar

[13] 13. Porter, G., Higher order Whitehead products, Topology 3 (1965), 123–136. Google Scholar

[14] 14. Porter, G., Higher order Whitehead products and Postnikov systems, Illinois J. Math. 11 (1967), 414–416. Google Scholar

[15] 15. Spanier, E., Algebraic topology (McGraw-Hill, 1966). Google Scholar

[16] 16. Sullivan, D., Differential forms and topology of manifolds, Conference on Manifolds, Tokyo (1973), 31–43. Google Scholar

Cité par Sources :