×

Counting elements in homotopy sets. (English) Zbl 0498.55006


MSC:

55Q05 Homotopy groups, general; sets of homotopy classes
55T05 General theory of spectral sequences in algebraic topology
55R25 Sphere bundles and vector bundles in algebraic topology
55Q52 Homotopy groups of special spaces
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Barratt, M.G.: Track Groups (I). Proc. London Math. Soc. (3)5, 71-106 (1955) · Zbl 0064.17103 · doi:10.1112/plms/s3-5.1.71
[2] Baues, H.: Obstruction theory. Lecture Notes in Mathematics628. Berlin-Heidelberg-New York: Springer 1977
[3] Becker, J.C.: Cohomology and the classification of liftings. Trans. Amer. Math. Soc.133, 447-475 (1968) · Zbl 0186.27205 · doi:10.1090/S0002-9947-1968-0236924-4
[4] Bott, R.: A note on the Samelson product in the classical groups. Comment. Math. Helv.34, 249-256 (1960) · Zbl 0094.01503 · doi:10.1007/BF02565939
[5] Federer, H.: A study of function spaces by spectral sequences. Trans. Amer. Math. Soc.82, 340-361 (1956) · Zbl 0071.16602 · doi:10.1090/S0002-9947-1956-0079265-2
[6] James, I.M.: Note on cup-products. Proc. Amer. Math. Soc.8, 374-383 (1957) · Zbl 0077.36501 · doi:10.1090/S0002-9939-1957-0091467-4
[7] James, I.M., Thomas, E.: An approach to the enumeration problem for non-stable vector bundles. J. Math. Mech.14, 485-506 (1965) · Zbl 0142.40701
[8] McClendon, J.F.: Higher order twisted cohomology operations. Invent. Math.7, 183-214 (1969) · Zbl 0206.25102 · doi:10.1007/BF01404305
[9] McClendon, J.F.: Obstruction theory in fibre spaces. Math. Z.120, 1-17 (1971) · Zbl 0222.55023 · doi:10.1007/BF01109713
[10] Mimura, M., Toda, H.: Homotopy groups ofSU(3),SU(4) andSp(2). J. Math. Kyoto Univ.3, 217-250 (1963-64)
[11] Switzer, R.M.: Postnikov towers associated with complex 2-plane and symplectic line bundles. Math. Z.168, 87-103 (1979) · Zbl 0408.55017 · doi:10.1007/BF01214438
[12] Switzer, R.M.: Complex 2-plane bundles over complex projective space. Math. Z.168, 275-287 (1979) · Zbl 0408.55012 · doi:10.1007/BF01214517
[13] Switzer, R.M.: Bundles of low codimension over ?P n . Preprint · Zbl 0489.55012
[14] Thomas, E.: Lectures on fibre spaces. Lecture Notes in Mathematics13. Berlin-Heidelberg-New York: Springer 1966
[15] Toda, H.: Composition methods in homotopy groups of spheres. Annals of Mathematics Studies49. Princeton: Princeton University Press 1962 · Zbl 0101.40703
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.