= Farrell–Markushevich theorem
{wiki=Farrell–Markushevich_theorem}
The Farrell-Markushevich theorem is a result in the field of algebraic topology, particularly concerning the study of manifolds and their homotopy types. It addresses the conditions under which the homotopy type of a manifold can be determined from its topological structure. Specifically, the theorem is often stated in the context of smooth manifolds and addresses the relationship between certain properties of manifolds and their homotopy equivalences.
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