Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Higher order operations


Author: E. Spanier
Journal: Trans. Amer. Math. Soc. 109 (1963), 509-539
MSC: Primary 55.34
DOI: https://doi.org/10.1090/S0002-9947-1963-0158399-1
MathSciNet review: 0158399
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20-104. MR 0141119 (25:4530)
  • [2] -, Stable homotopy theory, Mimeographed, University of California at Berkeley, 1961.
  • [3] C. R. Curjel, Über die Homotopie- und Cohomologiegruppen von Abbildungen, Comment. Math. Helv. 35 (1961), 233-262. MR 0131276 (24:A1128)
  • [4] A. Dold, Zur Homotopietheorie der Kettenkomplexe, Math. Ann. 148 (1960), 278-298. MR 0112906 (22:3752)
  • [5] W. S. Massey, Some higher order cohomology operations, Symposium Internacional de Topologia Algebraica, pp. 145-154, La Universidad Nacional Autónama de México and UNESCO, Mexico City, 1958. MR 0098366 (20:4826)
  • [6] W. S. Massey and H. Uehara, The Jacobi identity for Whitehead products, Algebraic Geometry and Topology (a symposium in honor of S. Lefschetz), pp. 361-377, Princeton Univ. Press, Princeton, N. J., 1957. MR 0091473 (19:974g)
  • [7] P. Olum, Non-abelian cohomology and Van Kampen's theorem, Ann. of Math. (2) 68 (1958), 658-668. MR 0096218 (20:2710)
  • [8] -, Obstructions to extensions and homotopies, Ann. of Math. (2) 52 (1950), 1-50. MR 0036507 (12:120c)
  • [9] F. P. Peterson, Functional cohomology operations, Trans. Amer. Math. Soc. 86 (1957), 197-211. MR 0105679 (21:4417)
  • [10] -, Functional higher order cohomology operations, Symposium Internacional de Topologia Algebraica, pp. 159-164, Mexico City, 1958. MR 0105678 (21:4416)
  • [11] F. P. Peterson and N. Stein, Secondary cohomology operations: two formulas, Amer. J. Math. 81 (1959), 281-305. MR 0124046 (23:A1366)
  • [12] F. P. Peterson and E. Thomas, A note on non-stable cohomology operations, Bol. Soc. Mat. Mexicana 3 (1958), 13-18. MR 0105680 (21:4418)
  • [13] D. Puppe, Homotopiemengen und ihre induzierten Abbildungen. I, Math. Z. 69 (1958), 299-344. MR 0100265 (20:6698)
  • [14] E. Spanier, Secondary operations on mappings and cohomology, Ann. of Math. (2) 75 (1962), 260-282. MR 0133823 (24:A3648)
  • [15] -, Quasi-topologies, Duke Math. J. 30 (1963), 1-14. MR 0144300 (26:1847)
  • [16] E. Spanier and J. H. C. Whitehead, Carriers and $ S$-theory, Algebraic Geometry and Topology (a symposium in honor of S. Lefschetz), pp. 330-360, Princeton Univ. Press, Princeton, N. J., 1957. MR 0084772 (18:919b)
  • [17] N. E. Steenrod, Cohomology invariants of mappings, Ann. of Math. (2) 50 (1949), 954-988. MR 0031231 (11:122a)
  • [18] H. Toda, Generalized Whitehead products and homotopy groups of spheres, J. Inst. Polytech. Osaka City Univ. Ser. A 3 (1952), 43-82. MR 0060822 (15:732b)
  • [19] -, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies No. 49, Princeton Univ. Press, Princeton, N. J., 1962. MR 0143217 (26:777)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55.34

Retrieve articles in all journals with MSC: 55.34


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1963-0158399-1
Article copyright: © Copyright 1963 American Mathematical Society

American Mathematical Society