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On Mapping Sequences

Published online by Cambridge University Press:  22 January 2016

Yasutoshi Nomura
Yasutoshi Nomura*
Affiliation:
Department of Mathematics, Shizuoka University, Shizuoka, Japan
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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