On the Exactness of the Eckmann-Hilton Homotopy Sequence
Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 671-673
Voir la notice de l'article provenant de la source Cambridge University Press
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/}
}
[1] 1. Eckmann, B. and Hilton, P. J., Groupes df homotopie et dualité. C. R. Acad. Sci. Paris 246 (1958) 2444–2446, 2555-2558. Google Scholar
[2] 2. Eckmann, B., Homotopie et Cohomologie. Séminaire de Mathématiques Supérieures - Eté 1964. Les Presses de I'Université de Montréal. Google Scholar
[3] 3. Hilton, P. J., An Introduction to Homotopy Theory. Cambridge Tracts in Mathematics No. 43. Cambridge University Press. Google Scholar
[4] 4. Scherk, P., On the exactness of the homotopy sequence. Canad. Math. Bull. 7 (1964), 617-618. Google Scholar
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