×
Thomas, E.

Fields of tangent k-planes on manifolds. (English) Zbl 0162.55402

Invent. Math. 3, 334-347 (1967).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0162.55402

Cited in 7 Documents

Keywords:

topology
Cite Review PDF
Full Text: DOI EuDML

References:

[1] Anderson, D.: A new cohomology theory. Thesis, Univ. of Calif. (Berkeley) 1964.
[2] Borel, A.: Sur la cohomologie des espaces fibrés principaux .... Annals of Math.47, 115-207 (1963).
[3] Chevalley, C.: Theory of Lie groups. Princeton University Press 1946. · Zbl 0063.00842
[4] Eckmann, B., andP. Hilton: Operators and cooperators in homotopy theory. Math. Ann.141, 1-21 (1960). · Zbl 0094.17301 · doi:10.1007/BF01367447
[5] Haefliger, A.: Variétés feuilletées. Ann. Scuola Norm. Sup. Pisa (3),16, 367-397 (1962).
[6] Hsiang, W. C.: Higher obstructions to sectioning a special type of fiber bundle. Trans. Amer. Soc.110, 393-412 (1964). · Zbl 0142.40603 · doi:10.1090/S0002-9947-1964-0158402-X
[7] Kervaire, M.: Courbure intégrale generalisée et homotopie. Math. Annalen131, 219-252 (1956). · Zbl 0072.18202 · doi:10.1007/BF01342961
[8] Lickorish, W. B. R.: A foliation for 3-manifolds. Ann. of Math. (2)92, 414-420 (1965). · Zbl 0142.41104 · doi:10.2307/1970704
[9] 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
[10] Massey, W.: On the Stiefel-Whitney classes of a manifold. Amer. J. Math.92, 92-102 (1960). · Zbl 0089.39301 · doi:10.2307/2372878
[11] ?, andF. Peterson: The cohomology structure of certain fiber spaces: I. Topology4, 47-66 (1964). · Zbl 0132.19103 · doi:10.1016/0040-9383(65)90048-0
[12] Meyer, J. P.: The characterization of Moore-Postnikov invariants. Bol. Soc. Mat. Mex.1963, 92-94. · Zbl 0123.39704
[13] Paechter, G.: The groups? r (V n,m ), I. Quart. J. Math. Oxford Ser. (2),7, 249-268 (1956). · Zbl 0073.18402 · doi:10.1093/qmath/7.1.249
[14] Reeb, G.: Variétés feuiletées, Actualités Sci. et Indust., No. 1183. Paris: Hermann 1952.
[15] Spanier, E.: Algebraic topology. New York: McGraw-Hill 1966. · Zbl 0145.43303
[16] Steenrod, N.: The topology of fiber bundles. Princeton Univ. Press 1951. · Zbl 0054.07103
[17] Thomas, E.: On the cohomology groups of the classifying space for the stable spinor group. Bol. Soc. Mat. Mex.1962, 57-69. · Zbl 0124.16401
[18] ?: Seminar on fiber spaces. Lecture Notes in Math. No. 13. Berlin-Heidelberg-New York: Springer 1966.
[19] ?: Postnikov Invariants and higher order cohomology operations. Annals of Math.85, 184-217 (1967). · Zbl 0152.22002 · doi:10.2307/1970439
[20] Thomas, E.: The index of a tangent 2-field. Comment. Math. Helv. (to appear). · Zbl 0153.53504
[21] Thomas, E.: Fields of tangent 2-planes on even-dimensional manifolds (to appear). · Zbl 0168.21401
[22] Thomas, E.: On the existence of immersions and submersion (to appear).
[23] Wu, W.: Lesi-carrés dans une variété grassmannienne. C. R. Acad. Sci. (Paris)230, 918-920 (1950). · Zbl 0035.24904
[24] ?: Classes caracteristique eti-carrés d’une variété. C. R. Acad. Sci. (Paris)230, 508-511 (1950).
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.