×

zbMATH — the first resource for mathematics

On the Künneth theorem. I: The Eilenberg-Moore spectral sequence. (English) Zbl 0189.54401

Keywords:
topology
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Adams, J. F.: On the Cobar construction. Proc. Nat. Acad. Sci. USA42, 409-412 (1956). · Zbl 0071.16404
[2] ?: On the structure and application of the Steenrod algebra. Commentarii Math. Helvet.32, 180-214 (1958). · Zbl 0083.17802
[3] ?: Lectures on generalized homology theories. Lecture Notes in Mathematics, No. 99. Berlin-Heidelberg-New York: Springer 1969.
[4] Anderson, D. W., Hodgkin, L.: TheK-theory of Eilenberg-Mac Lane complexes. Topology7, 317-330 (1968). · Zbl 0199.26302
[5] Atiyah, M. F.: Vector bundler and the Künneth formula. Topology1, 245-248 (1962). · Zbl 0108.17801
[6] Baum, P. F.: Cohomology of homogenous spaces. Topology7, 15-38 (1968). · Zbl 0158.42002
[7] ?, Smith, L.: On the real cohomology of differentiable fibre bundles. Commentarii Math. Helvet.42, 171-179 (1967). · Zbl 0166.19302
[8] Brown, E. H.: Abstract homotopy theory. Trans. Amer. Math. Soc.119, 79-85 (1965). · Zbl 0129.15301
[9] Clark, A.: Homotopy commutativity and the Moore spectral sequence. Pacific J. Math.15, 65-74 (1965). · Zbl 0129.38805
[10] Cartan, H., Eilenberg, S.: Homological algebra. Princeton University Press 1956. · Zbl 0075.24305
[11] Conner, P. E., Smith, L.: On the complex bordism of finite complexes. I.H.E.S. Journal de Math. No. 37, pp. 1-99 (1970). · Zbl 0204.23602
[12] Dold, A.: Halbexakte Homotopiefunktoren. Lecture Notes in Mathematics, No. 12. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0136.00801
[13] Eilenberg, S., Moore, J. C.: Homology and fibrations I, II,.... Commentarii Math. Helvet.40, 199-236 (1966). · Zbl 0148.43203
[14] Eilenberg, S., Moore, J. C.: Homological algebra and fibrations. Colloque de Topologie, Bruxelles 1964. CBRM 1966. · Zbl 0138.18205
[15] Hodgkin, L.: An equivariant Künneth formula inK-theory. Warwick University Preprint.
[16] James, I. M.: Ex homotopy theory. Illinois J. Math. (to appear). · Zbl 0225.55012
[17] Kan, D.: Adjoint functors. Trans. Amer. Math. Soc.87, 294-329 (1958). · Zbl 0090.38906
[18] Massey, W. S.: Exact couples in algebraic topology I?V. Ann. of Math. (2)56, 363-396 (1952);57, 248-286 (1953). · Zbl 0049.24002
[19] ?, Peterson, F. P.: Cohomology of certain fibre spaces I. Topology4, 47-65 (1965). · Zbl 0132.19103
[20] Massey, W. S., Peterson, F. P.: On the Mod 2 cohomology structure of certain fibre spaces. Mem. Amer. Math. Soc.74, 97 pp. (1967). · Zbl 0168.44002
[21] Meyer, J. P.: Relative stable homotopy theory. Proceedings of the Conference on Algebraic Topology. University of Illinois at Chicago Cirele, 1968.
[22] Milnor, J.: On spaces having the homotopy type of acw-complex. Trans. Amer. Math. Soc.90, 272-280 (1959). · Zbl 0084.39002
[23] Moore, J. C.: Lectures on homological algebra. (In preparation).
[24] ?, Smith, L.: Hopf algebras and multiplicative fibrations I, II. Amer. J. Math.90, 752-780, 1113-1150 (1968). · Zbl 0194.24501
[25] Puppe, D.: Homotopiemengen und ihre induzierten Abbildungen I. Math. Z.69, 299-344 (1958). · Zbl 0092.39803
[26] Puppe, D.: Steenrod operations for the Cobar construction. Proceedings of the Conference on Algebraic Topology, University of Illinois at Chicago Cirele 1968.
[27] Rector, D.: Steenrod operations in the Eilenberg-Moore spectral sequence. Commentarii Math. Helvet. (to appear). · Zbl 0209.27501
[28] Singer, W.: Connective fibrings overBU andU. Topology7, 277-304 (1968). · Zbl 0176.52602
[29] Smith, L.: Homological algebra and the Eilenberg-Moore spectral sequence. Trans. Amer. Math. Soc.129, 58-93 (1967). · Zbl 0177.51402
[30] ? Cohomology of stable two stage Postnikow systems. Illinois J. Math.11, 310-329 (1967). · Zbl 0171.21803
[31] Smith, L.: On the relation between spherical and primitive classes in topological groups. Topology8, 68-80 (1969). · Zbl 0206.52201
[32] ?: Lectures on the Eilenberg-Moore spectral sequence. Lecture Notes in Mathematics, No. 134. Berlin-Heidelberg-New York: Springer 1970. · Zbl 0197.19702
[33] ?: Split extensions of Hopf algebras and semi-tensor products. Math. Scandinav.26, 17-41 (1970). · Zbl 0191.53902
[34] ?: Primitive Loop spaces. Topology7, 121-124 (1968). · Zbl 0157.54201
[35] Steenrod, N. E., Epstein, D. B. A.: Cohomology operations. Ann. of Math. Studies, No. 50, Princeton University Press 1962. · Zbl 0102.38104
[36] Stong, R. E.: Lectures on cobordism theories. Lecture Notes in Mathematics. Princeton University Press 1969. · Zbl 0176.21302
[37] Whitehead, G. W.: Generalized homology theories. Trans. Amer. Math. Soc.102, 227-283 (1962). · Zbl 0124.38302
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.