= Topological rigidity
{wiki=Topological_rigidity}
Topological rigidity is a concept in topology and differential geometry that refers to the behavior of certain spaces or structures under continuous deformations. A space is considered topologically rigid if it cannot be continuously deformed into another space without fundamentally altering its intrinsic topological properties. More formally, a topological space \\(X\\) is said to be rigid if any homeomorphism (a continuous function with a continuous inverse) from \\(X\\) onto itself must be the identity map.
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