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Date: 3-6-2021
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Date: 1-6-2021
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Date: 23-7-2021
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A diagram lemma which states that, given the above commutative diagram with exact rows, the following holds:
1. If is surjective, and and are injective, then is injective;
2. If is injective, and and are surjective, then is surjective.
This lemma is closely related to the five lemma, which is based on a similar diagram obtained by adding a single column.
REFERENCES:
Mac Lane, S. Homology. Berlin: Springer-Verlag, p. 364, 1967.
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