Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-13T02:36:39.856Z Has data issue: false hasContentIssue false
  • English
  • Français

On Mapping Sequences

Published online by Cambridge University Press:  22 January 2016

Yasutoshi Nomura
Yasutoshi Nomura*
Affiliation:
Department of Mathematics, Shizuoka University, Shizuoka, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In 1958 D. Puppe developed the theory of Abbildungsfolge and applied it to the study of Hilton formula and his sphärenähnliche Mannigfaltigkeiten. We shall be concerned here with a dual situation.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 17 , August 1960 , pp. 111 - 145
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

[1] Barcus, W. D. and Meyer, P. J., The suspension of a loop space, Amer. J. Math., 80 (1958), 895–920.Google Scholar
[2] Blakers, A. L. and Massey, W. S., The homotopy groups of a triad II, Ann. of Math., 55 (1952), 192–201.CrossRefGoogle Scholar
[3] Cartan, H. and Serre, J. P., Espaces fibrés et groupes d’homotopie I. Constructions générales, C. R. Acad. Sci. Paris, 234 (1952), 288–290.Google Scholar
[4] Eckmann, B. and Hilton, P. J., Groupes d’homotopie et dualité. Groupes absolus, C. R. Acad. Sci. Paris, 246 (1958), 2444–2447; Suites exactes, ibid. 2555–2558.Google Scholar
[5] Eckmann, B. and Hilton, P. J., Transgression homotopique et cohomologique, ibid., 247 (1958), 620–623.Google Scholar
[6] Eckmann, B. and Hilton, P. J., On the homology and homotopy decomposition of continuous maps, Proc. Nat. Acad. Sci. U.S.A., 45 (1959), 372–375.Google Scholar
[7] Hurewicz, W., On the concept of fibre space, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 956–961.Google Scholar
[8] James, I. M. and Whitehead, J. H. C., Note on fibre spaces, Proc. London Math. Soc., 4 (1954), 129–137.Google Scholar
[9] Massey, W. S., Homotopy groups of triads, Proc. International Congress of Math. Cambridge, Mass. U.S.A., (1950), 371–382.Google Scholar
[10] Peterson, F. P. and Stein, N., Secondary cohomology operations: two formulas, Amer. J. Math., 81 (1959), 281–305.Google Scholar
[11] Peterson, F. P. and Thomas, E., A note on non-stable cohomology operations, Boletin de la Sociedad Mathematica in Mexicana, segunda serie, 3 (1958), 13–18.Google Scholar
[12] Puppe, D., Homotopiemengen und ihre induzierte Abbildungen I, Math. Z., 69 (1958), 299–344; II, ibid., 395–417.Google Scholar
[13] Samelson, H., Groups and spaces of loops, Comment. Math. Helv., 28 (1954), 278–287.Google Scholar
[14] Serre, J. -P., Groupes d’homotopie et classes de groupes abéliens, Ann. of Math., 58 (1953), 258–294.Google Scholar
[15] Spanier, E. H. and Whitehead, J. H. C., On fibre spaces in which the fibre is contractible, Comment. Math. Helv., 29 (1955), 1–8.Google Scholar
[16] Sugawara, M., On à condition that a space is an H-space, Math. J. Okayama Univ., 6 (1957), 109–129.Google Scholar
[17] Whitehead, J. H.C., Combinatorial homotopy I, Bull. Amer. Math. Soc., 55 (1949), 245–277.Google Scholar