##  [Thin Set](/thin-set) 

  ##  [Thin Set](https://puremath.quantumdictionary.io/thin-set-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A subset E of Euclidean space (or of the boundary of a domain) that fails a Wiener-type thickness condition at a point x, meaning E is 'thin at x' in potential-theoretic terms and thus permits exceptional (irregular) behavior of harmonic functions at x.