Abstract
Let U and V be open sets on a manifold. In Section 2, we saw that the sequence of inclusions
gives rise to an exact sequence of differential complexes
called the Mayer—Vietoris sequence. The associated long exact sequence
allows one to compute in many cases the cohomology of the union U ∪ V from the cohomology of the open subsets U and V. In this section, the Mayer-Vietoris sequence will be generalized from two open sets to countably many open sets. The main ideas here are due to Weil [1].
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© 1982 Springer Science+Business Media New York
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Bott, R., Tu, L.W. (1982). The Čech-de Rham Complex. In: Differential Forms in Algebraic Topology. Graduate Texts in Mathematics, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3951-0_3
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DOI: https://doi.org/10.1007/978-1-4757-3951-0_3
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