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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

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Two questions on axiomatic homology

1) Given the Eilenberg-Steenrod axioms, there are several Mayer-Vietoris type sequences that can be deduced. The most general form seems to be $$\rightarrow H_n(X \cap Y, A \cap B) \rightarrow H_n(X, …
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