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Remark on the Dual EHP Sequence
Published online by Cambridge University Press: 22 January 2016
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In this note we will improve the dual EHP sequence which has been constructed in [6] by showing that that can be extended by one term. We then observe that this can be used to deduce a result which has been announced by T. Ganea in [4]. As another application we will establish a theorem which asserts that, under certain conditions, a principal fibration with a loop-space as fibre is principally equivalent to the one induced by some map.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1967
References
[2]
Berstein, I. and Hilton, P. J., On suspensions and comultiplications, Topology
2 (1963), 73–82.Google Scholar
[3]
Hall, I. M., The generalized Whitney sum, Quart. J. Math. Oxford (2) 16 (1965), 360–364.Google Scholar
[4]
Ganea, T., Induced fibrations and cofibrations, Notices Amer. Math. Soc. 13, No. 3 (1966), 632–13.Google Scholar
[5]
Nomura, Y., An application of the path-space technique to the theory of triads, Nagoya Math. J. 22 (1963), 169–188.Google Scholar
[7]
Nomura, Y., A note on fibre homotopy equivalences, Bull. Nagoya Inst. Tech. 17 (1965), 66–71.Google Scholar
[8]
Peterson, F. P. and Thomas, E., A note on non-stable cohomology operations, Bol. Soc. Math. Mexicana
3 (1958), 13–18.Google Scholar
[9]
Sugawara, M., On the homotopy-commutativity of groups and loop spaces, Mem. Coll. Sci., Univ. of Kyoto, Ser A 33 (1960), 257–269.Google Scholar
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