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Simplicial map
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<p>A simplicial map (also called simplicial mapping) is a <a href="/facts/Function_(mathematics)/CdReEKCh">function</a> between two <a href="/facts/Simplicial_complexes/fF2282CF">simplicial complexes</a>, with the property that the images of the vertices of a <a href="/facts/Simplex/0FCfNRN8">simplex</a> always span a simplex. Simplicial maps can be used to approximate <a href="/facts/Continuous_functions/sKbl02pB">continuous functions</a> between <a href="/facts/Topological_spaces/v2ut7CbK">topological spaces</a> that can be <a href="/facts/Triangulation_(topology)/u58jNL6L">triangulated</a>; this is formalized by the <a href="/facts/Simplicial_approximation_theorem/rsSYXbqF">simplicial approximation theorem</a>. </p><p>A simplicial isomorphism is a <a href="/facts/Bijection/j4gTuTmW">bijective</a> simplicial map such that both it and its inverse are simplicial. </p>