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On the triad Excision Theorem of Blakers and Massey

Published online by Cambridge University Press:  22 January 2016

Shôrô Araki
Shôrô Araki*
Affiliation:
Mathematical Institute, Nagoya University
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The purpose of the present paper is to give a new proof to the triad excision theorem of Blakers and Massey [1], in case m≦2 and n≦2, by the aid of path spaces and in connection with a recent work of J. P. Serre [2].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 6 , October 1953 , pp. 129 - 136
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1953

References

[1] Blakers, A.L. and Massey, W. S.: The homotopy groups of a triad. II. Ann. of Math., vol. 55 (1952), pp. 192–201.CrossRefGoogle Scholar
[2] Serre, J.P.: Homologie singulière des espaces fibres. Ann. of Math., vol. 54 (1951), pp. 425–505.CrossRefGoogle Scholar
[3] Eilenberg, S. and Steenrod, N. E.: Foundations of Algebraic Topology, Princeton Univ. Press, 1952.Google Scholar
[4] Moore, J.C.: Bull. Amer. Math. Soc, vol. 58 (1952), Abstract; No. 396.Google Scholar