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Template:Homotopy theorem
If K {\displaystyle K} and L {\displaystyle L} are simplicial complexes and f : | K | → | L | {\displaystyle f:|K|\to |L|} is a continuous map (of their geometric realizations) then there exists a simplicial approximation ϕ : s d q K → L {\displaystyle \phi :sd^{q}K\to L} to f {\displaystyle f} .
