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Whitney-Cartan product formulae. (English) Zbl 0205.53103


MSC:

55N45 Products and intersections in homology and cohomology
55S99 Operations and obstructions in algebraic topology

References:

[1] Adem, J.: The relations on Steenrod powers of cohomology classes. Algebraic geometry and topology, p. 191-238. Princeton: University Press 1967. · Zbl 0199.26104
[2] James, I. M., Thomas, E.: An approach to the enumeration problem for non-stable vector bundles. J. Math. Mech.3, 485-506 (1965). · Zbl 0142.40701
[3] MacLane, S.: Homology. New York: Academic Press 1963.
[4] Mahowald, M.: On obstruction theory in orientable fiber bundles. Trans. Amer. Math. Soc.110, 315-349 (1964). · Zbl 0128.16805 · doi:10.1090/S0002-9947-1964-0157386-8
[5] Massey, W., Peterson, F.: Cohomology structure of certain fiber spaces I. Topology4, 47-66 (1964). · Zbl 0132.19103 · doi:10.1016/0040-9383(65)90048-0
[6] Milgram, J.: Cartan formulae (to appear). · Zbl 0218.55028
[7] Mosher, R.: Secondary characteristic classes fork-special bundles. Trans. Amer. Math. Soc.131, 333-344 (1968). · Zbl 0159.53601
[8] ?: The product formula for the third obstruction. Pacific J. Math.27, 573-578 (1968). · Zbl 0174.26203
[9] Peterson, F., Stein, N.: Secondary characteristic classes. Ann. of Math.76, 510-523 (1962). · Zbl 0107.16904 · doi:10.2307/1970371
[10] Serre, J. P.: Homologie singulière des espaces fibrés. Ann. of Math.54, 425-505 (1951). · Zbl 0045.26003 · doi:10.2307/1969485
[11] Spanier, E.: Algebraic topology. New York: McGraw-Hill 1966. · Zbl 0145.43303
[12] Steenrod, N., Epstein, D.: Cohomology operations. Ann. of Math. Studies No. 50, Princeton Univ. Press 1962. · Zbl 0102.38104
[13] Thom, R.: Espaces fibrés en sphères et carrés de Steenrod. Ann. Ecole Norm. Sup.69, 109-182 (1952). · Zbl 0049.40001
[14] Thomas, E.: Seminar on fiber spaces. Lecture notes in Mathematics No. 13. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0151.31604
[15] Thomas, E.: An exact sequence for principal fibrations. Bol. Soc. Mat. Mexicana 35-45 (1967). · Zbl 0183.51702
[16] ?: Postnikov invariants and higher order cohomology operations. Ann. of Math.85, 184-217 (1967). · Zbl 0152.22002 · doi:10.2307/1970439
[17] Whitehead, G.: Generalized homology theories. Trans. Amer. Math. Soc.102, 227-283 (1962). · Zbl 0124.38302 · doi:10.1090/S0002-9947-1962-0137117-6
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