##  [Nonmanifold Point](/index.php/nonmanifold-point) 

  ##  [Nonmanifold Point](https://puremath.quantumdictionary.io/nonmanifold-point-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A point x in a topological space X for which no neighborhood of x is homeomorphic to any Euclidean space R^n (or half-space R^n_+) of a fixed dimension; equivalently, x is a local failure of manifold structure and cannot be given a single consistent local chart model.