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On the Exactness of the Homotopy Sequence

Published online by Cambridge University Press:  20 November 2018

P. Scherk
P. Scherk*
Affiliation:
University of Toronto
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This note is based on Hu's Homotopy Theory (New York, 1959), pp. 115 f.

The theorem that the homotopy sequence is exact splits into six statements. The fifth in Hu's exposition can be stated as follows: Let f:In, In-1, Jn-1→X, A, x0,

1

Then there exists a map

2

such that f~j g: In, In-1, Jn-1→X, A, x0.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 4 , December 1964 , pp. 617 - 618
Copyright
Copyright © Canadian Mathematical Society 1964