Excision Axiom

One of the Eilenberg-Steenrod axioms which states that, if X is a space with subspaces A and U such that the set closure of A is contained in the interior of U, then the inclusion map (X U,A U)->(X,A) induces an isomorphism H_n(X U,A U)->H_n(X,A).

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Weisstein, Eric W. "Excision Axiom." From MathWorld--A Wolfram Web Resource.

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