Cartan's constructions, the homology of $\mathcal{H} \left( \pi, n\right) \prime s$, and some later developments

Cartan's constructions, the homology of

ℋ (π, n)' s

, and some later developments

Moore, John C.

Colloque analyse et topologie, Astérisque, no. 32-33 (1976), pp. 173-212.

MR Zbl

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     author = {Moore, John C.},
     title = {Cartan's constructions, the homology of $\mathcal{H} \left( \pi, n\right) \prime s$, and some later developments},
     booktitle = {Colloque analyse et topologie},
     series = {Ast\'erisque},
     pages = {173--212},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {32-33},
     year = {1976},
     mrnumber = {413090},
     zbl = {0339.55001},
     language = {en},
     url = {http://www.numdam.org/item/AST_1976__32-33__173_0/}
}

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%A Collectif
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Moore, John C. Cartan's constructions, the homology of $\mathcal{H} \left( \pi, n\right) \prime s$, and some later developments, dans Colloque analyse et topologie, Astérisque, no. 32-33 (1976), pp. 173-212. http://www.numdam.org/item/AST_1976__32-33__173_0/

Bibliographie
Cité par

[1] H. Cartan, Sur les groupes d'Eilenberg-Mac Lane $H (π, n)$ . I, Proc. Nat. Acad. Sci. USA, vol. 40, 1954, pp. 467-471. | DOI | MR | Zbl

H. Cartan, Sur les groupes d'Eilenberg-Mac Lane $H (π, n)$ . II, Proc. Nat. Acad. Sci. USA, vol. 40, 1954, pp. 704-707. | DOI | MR | Zbl

[2] H. Cartan, Sur l'iteration des operations de Steenrod, Comm. Math. Helv., vol. 29, 1955, pp. 40-58. | DOI | EuDML | MR | Zbl

[3] H. Cartan, Séminaire 1954/55, Algèbras d'Eilenberg-Mac Lane et homotopie, Ecole Normale Supérieure, Paris. | Zbl

[4] H. Cartan, Séminaire 1959/60, Périodicité des groupes d'homotopie stables des groupes classiques, d'après Bott, Ecole Normale Supérieure, Paris.

[5] H. Cartan et J.-P. Serre, Espaces fibrés et groupes d'homotopie I, C. R. Acad. Sci. Paris, vol. 234, 1952, pp. 288-290; II ibid., pp. 393-395. | MR | Zbl

H. Cartan et J.-P. Serre, Espaces fibrés et groupes d'homotopie II, C. R. Acad. Sci. Paris, vol. 234, 1952, pp. 393-395. | MR | Zbl

[6] S. Eilenberg and S. Mac Lane, Relations between homology and homotopy groups of spaces. I, Ann. of Math., vol. 46, 1945, pp. 480-509 | DOI | MR | Zbl

S. Eilenberg and S. Mac Lane, Relations between homology and homotopy groups of spaces. II, Ann. of Math., vol. 51, 1950, pp. 514-535. | DOI | MR | Zbl

[7] S. Eilenberg,On the groups $H (π, n)$ I, Ann. of Math., vol. 58, 1953, pp. 55-106. | MR | Zbl

S. Eilenberg,On the groups $H (π, n)$ II, Ann. of Math., vol. 60, 1954, pp. 49-139. | MR | Zbl

S. Eilenberg,On the groups $H (π, n)$ III, Ann. of Math., vol. 60, 1954, pp. 513-557. | MR | Zbl

[8] S. Eilenberg and J. C. Moore, Homology and fibrations. I, coalgebras, cotensor product and its derived functors, Comm. Math. Helv., vol. 40, 1966, pp. 199-236. | EuDML | MR | Zbl

[9] D. Husemoller, J. C. Moore, and J. Stasheff, Differential homological algebra and homogeneous spaces, Jour. of Pure and Appld. Alg., vol. 5, 1974, pp. 113-185. | DOI | MR | Zbl

[10] J. W. Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math., vol. 65, 1957, pp. 357-362. | DOI | MR | Zbl

[11] J. W. Milnor, The Steenrod algebra and its dual, Ann. of Math., vol. 67, 1958, pp. 150-171. | DOI | MR | Zbl

[12] J. W. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math., vol. 81, 1965, pp. 211-264. | DOI | MR | Zbl

[13] J. C. Moore, On the homology of $K (Π, n)$ , Proc. Nat. Acad. Sci. USA, vol. 43, 1957, pp. 409-411. | MR | Zbl

[14] J. C. Moore, Semi-simplicial complexes and Postnikov systems, Symp. internacional de topologia algebraica, Universidad Nacional Autonoma de México and UNESCO, Mexico City, 1958, pp. 232-247. | MR | Zbl

[15] J. C. Moore, Differential homological algebra, Actes du Congr. Intern. des Mathématiciens, 1970, pp. 335-336. | MR | Zbl

[16] M. M. Postnikov, On the homotopy type of polyedra, Doklady Akad. Nauk. SSSR, vol. 76, 1951, pp. 359-362. | MR

[17] J.-P. Serre, Homologie singulière des espaces fibrés, Applications, Ann. of Math., vol. 54, 1951, pp. 425-505. | MR | Zbl

[18] J.-P. Serre, Cohomologie modulo $2$ des complexes d'Eilenberg-Mac Lane, Comment. Math. Helv., vol. 27, 1953, pp. 198-232. | DOI | EuDML | MR | Zbl

[19] G. W. Whitehead, The $(n + 2)$ homotopy group of the $n$ -sphere, Ann. of Math., vol. 52, 1950, pp.245-247. | DOI | MR | Zbl

[20] G. W. Whitehead, Fiber spaces and the Eilenberg homology groups, Proc. Nat. Acad. Sci. USA, vol. 38, 1952, pp. 426-430. | DOI | MR | Zbl