High Quality Content by WIKIPEDIA articles! In mathematics, particularly algebraic topology, a pair of spaces is an ordered pair (X, A) where X is a topological space and A a subspace (with the subspace topology). The use of pairs of spaces is sometimes more convenient and technically superior to taking a quotient space of X by A. Pairs of spaces occur centrally in relative homology.Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces.

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