On the Exactness of the Eckmann-Hilton Homotopy Sequence
Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 671-673
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The theorem that the homotopy sequence is exact splits into six statements. Scherk ([4]) obviates the use of homotopy extension in the proof of one of these statements. The purpose of this note is to show that the method can be adapted to give a direct proof of the corresponding statement in the theorem that the Eckmann-Hilton homotopy sequence ([l]) is exact. The note is based on Eckmann' s exposition ([2]). We are concerned with the proof of b2, pp. 34–35.
Pears, A. R. On the Exactness of the Eckmann-Hilton Homotopy Sequence. Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 671-673. doi: 10.4153/CMB-1966-081-8
@article{10_4153_CMB_1966_081_8,
author = {Pears, A. R.},
title = {On the {Exactness} of the {Eckmann-Hilton} {Homotopy} {Sequence}},
journal = {Canadian mathematical bulletin},
pages = {671--673},
year = {1966},
volume = {9},
number = {5},
doi = {10.4153/CMB-1966-081-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-081-8/}
}
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