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Simplicial homotopy

From Wikipedia, the free encyclopedia

In algebraic topology, a simplicial homotopy[1]pg 23 is an analog of a homotopy between topological spaces for simplicial sets. If

are maps between simplicial sets, a simplicial homotopy from f to g is a map

such that the diagram (see [1]) formed by f, g and h commute; the key is to use the diagram that results in and for all x in X.

See also

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References

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  1. ^ Goerss, Paul G.; Jardin, John F. (2009). Simplicial Homotopy Theory. Birkhäuser Basel. ISBN 978-3-0346-0188-7. OCLC 837507571.
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