On differential Hopf algebras
HTML articles powered by AMS MathViewer
- by William Browder PDF
- Trans. Amer. Math. Soc. 107 (1963), 153-176 Request permission
References
- Shôrô Araki, Differential Hopf algebras and the cohomology $\textrm {mod}\ 3$ of the compact exceptional groups $E_{7}$ and $E_{8}$, Ann. of Math. (2) 73 (1961), 404–436. MR 124052, DOI 10.2307/1970339
- Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207 (French). MR 51508, DOI 10.2307/1969728
- Armand Borel, Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes, Tohoku Math. J. (2) 13 (1961), 216–240 (French). MR 147579, DOI 10.2748/tmj/1178244298
- Raoul Bott, An application of the Morse theory to the topology of Lie-groups, Bull. Soc. Math. France 84 (1956), 251–281. MR 87035 W. Browder, Homology of loop spaces, Thesis, Princeton Univ., Princeton, N. J., 1958.
- William Browder, The cohomology of covering spaces of $H$-spaces, Bull. Amer. Math. Soc. 65 (1959), 140–141. MR 111024, DOI 10.1090/S0002-9904-1959-10299-8
- William Browder, Torsion in $H$-spaces, Ann. of Math. (2) 74 (1961), 24–51. MR 124891, DOI 10.2307/1970305
- William Browder, Homotopy commutative $H$-spaces, Ann. of Math. (2) 75 (1962), 283–311. MR 150778, DOI 10.2307/1970175
- William Browder, Higher torsion in $H$-spaces, Trans. Amer. Math. Soc. 108 (1963), 353–375. MR 155326, DOI 10.1090/S0002-9947-1963-0155326-8
- William Browder, Homology operations and loop spaces, Illinois J. Math. 4 (1960), 347–357. MR 120646
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480 H. Cartan and J. C. Moore, Seminaire Ecole Normale Supérieure, Paris, 1959-60.
- V. K. A. M. Gugenheim and J. C. Moore, Acyclic models and fibre spaces, Trans. Amer. Math. Soc. 85 (1957), 265–306. MR 86301, DOI 10.1090/S0002-9947-1957-0086301-7
- Tatsuji Kudo and Shôrô Araki, Topology of $H_n$-spaces and $H$-squaring operations, Mem. Fac. Sci. Kyūsyū Univ. A 10 (1956), 85–120. MR 87948
- Arunas Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 978–981. MR 132543, DOI 10.1073/pnas.46.7.978
- John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211–264. MR 174052, DOI 10.2307/1970615
- John C. Moore, The double suspension and $p$-primary components of the homotopy groups of spheres, Bol. Soc. Mat. Mexicana (2) 1 (1956), 28–37. MR 92967
- E. C. Zeeman, A proof of the comparison theorem for spectral sequences, Proc. Cambridge Philos. Soc. 53 (1957), 57–62. MR 84769, DOI 10.1017/s0305004100031984
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 107 (1963), 153-176
- MSC: Primary 55.99; Secondary 55.34
- DOI: https://doi.org/10.1090/S0002-9947-1963-0145530-7
- MathSciNet review: 0145530