Bing's recognition theorem (source code)

= Bing's recognition theorem
{wiki=Bing's_recognition_theorem}

Bing's recognition theorem is a result in the field of topology, specifically in the study of 3-manifolds. It states that if a triangulated 3-manifold is homeomorphic to a simplicial complex, then it can be recognized topologically by its triangulation. In other words, the theorem provides conditions under which one can determine whether two triangulated 3-manifolds are homeomorphic based solely on their combinatorial or geometric properties.