Mapping Cylinder

In mathematics, specifically algebraic topology, the mapping cylinder of a function between topological spaces and is the quotient

where the union is disjoint, and ∼ is the equivalence relation

That is, the mapping cylinder is obtained by gluing one end of × to via the map . Notice that the "top" of the cylinder is homeomorphic to, while the "bottom" is the space .

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Read more about Mapping Cylinder:  Basic Properties, Interpretation, Applications

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