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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 4 / 21H / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2018 ii Paper 4 21H
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a
Let i:L↪M, j:L↪N, r:M↪K, and s:N↪K be the inclusions. The Mayer–Vietoris sequence is the long exact sequence in homology
⋯⟶Hk​(L)(i∗​,−j∗​)​Hk​(M)⊕Hk​(N)r∗​+s∗​​Hk​(K)∂∗​​Hk−1​(L)⟶⋯.
(1)
The same sequence continues through degree zero, or uniformly in all degrees when written with reduced homology.

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