Call
In algebraic topology, a branch of mathematics, the excision theorem is a theorem about relative homology and one of the Eilenberg–Steenrod axioms. Given a topological space X {\displaystyle X} and subspaces A {\displaystyle A} and U {\displaystyle U} such that U {\displaystyle U} is also a subspace of A {\displaystyle A} , the theorem says that under certain circumstances, we can cut out U {\displaystyle U} from both spaces such that the relative homologies of the pairs {\displaystyle } into {\displaystyle } are isomorphic.
This assists in computation of singular homology groups, as sometimes after excising an appropriately chosen subspace we obtain something easier to compute.
Talk Doctor Online in Bissoy App