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On Extensions of Triads

Published online by Cambridge University Press:  22 January 2016

Yasutoshi Nomura
Yasutoshi Nomura*
Affiliation:
Nagoya Institute of Technology, Nagoya, Japan
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As an extension of a result due to W. D. Barcus and J. P. Meyer [4], T. Ganea [8] has recently proved a theorem concerning the fibre of the extension E∪CF→B of a fibre map p: E→B to the cone CF erected over the fibre F. In this paper we shall establish a generalized Ganea theorem which asserts that the homotopy type of the fibre of a canonical extension ξ′ of a triad (cf. [13]) is determined by those of f and g (see Theorem 3.4).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 249 - 277
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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