Weak equivalence (homotopy theory)
ID: weak-equivalence-homotopy-theory
In homotopy theory, the concept of *weak equivalence* is central to the study of topological spaces and their properties under continuous deformations. Two spaces (or more generally, two objects in a suitable category) are said to be weakly equivalent if they have the same homotopy type, meaning there exists a continuous mapping between them that induces isomorphisms on all homotopy groups.
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