Induced maps for Postnikov systems
HTML articles powered by AMS MathViewer
- by Donald W. Kahn
- Trans. Amer. Math. Soc. 107 (1963), 432-450
- DOI: https://doi.org/10.1090/S0002-9947-1963-0150777-X
- PDF | Request permission
References
- 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 H. Cartan, Séminaire 7, Secréteriat mathématique, Paris, 1955/56.
- Arthur H. Copeland Jr., On $H$-spaces with two non-trivial homotopy groups, Proc. Amer. Math. Soc. 8 (1957), 184–191. MR 83737, DOI 10.1090/S0002-9939-1957-0083737-0
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886, DOI 10.1515/9781400877492
- Robert Hermann, Secondary obstructions for fibre spaces, Bull. Amer. Math. Soc. 65 (1959), 5–8. MR 111038, DOI 10.1090/S0002-9904-1959-10253-6 P. Hilton, and S. Wylie, Homology theory, Cambridge Univ. Press, Cambridge, 1961.
- John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 84138, DOI 10.2307/1969967
- John Milnor, Construction of universal bundles. II, Ann. of Math. (2) 63 (1956), 430–436. MR 77932, DOI 10.2307/1970012
- John Milnor, On spaces having the homotopy type of a $\textrm {CW}$-complex, Trans. Amer. Math. Soc. 90 (1959), 272–280. MR 100267, DOI 10.1090/S0002-9947-1959-0100267-4
- John C. Moore, Semi-simplicial complexes and Postnikov systems, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 232–247. MR 0111027
- Franklin P. Peterson and Emery Thomas, A note on non-stable cohomology operations, Bol. Soc. Mat. Mexicana (2) 3 (1958), 13–18. MR 105680
- M. M. Postnikov, Issledovaniya po gomotopičeskoĭ teorii nepreryvnyh otobraženiĭ. I. Algebraičeskaya teoriya sistem. II. Natural′naya sistema i gomotopičeskiĭ tip, Izdat. Akad. Nauk SSSR, Moscow, 1955 (Russian). Trudy Mat. Inst. Steklov. no. 46. MR 0074819
- Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
- Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
- Jean-Pierre Serre, Cohomologie modulo $2$ des complexes d’Eilenberg-MacLane, Comment. Math. Helv. 27 (1953), 198–232 (French). MR 60234, DOI 10.1007/BF02564562
- Haruo Suzuki, Multiplications in Postnikov systems and their applications, Tohoku Math. J. (2) 12 (1960), 389–399. MR 121802, DOI 10.2748/tmj/1178244402
- René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213–245. MR 30759, DOI 10.1090/S0002-9904-1949-09175-9
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 107 (1963), 432-450
- MSC: Primary 55.40; Secondary 55.50
- DOI: https://doi.org/10.1090/S0002-9947-1963-0150777-X
- MathSciNet review: 0150777