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2013-11-07T23:35:36Z

Example

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			In [[mathematics]], more specifically [[algebraic topology]], a pair <math>(X,A)</math> is shorthand for an inclusion of topological spaces <math>i\colon A\hookrightarrow X</math>. Sometimes <math>i</math> is assumed to be a [[cofibration]]. A morphism from <math>(X,A)</math> to <math>(X',A')</math> is given by two maps <math>f\colon X\rightarrow X'</math> and
			<math>g\colon A\rightarrow A'</math> such that <math> i' \circ g =f \circ i </math>.

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			Heuristically, one often thinks of a pair <math>(X,A)</math> as being akin to the quotient space <math>X/A</math>.

			There is a functor from spaces to pairs, which sends a space <math>X</math> to the pair <math>(X,\varnothing)</math>.

			==References==
			{{reflist}}

			[[Category:Algebraic topology]]

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198.84.130.59: /* Example */

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