 ##  [Simplicial Set](/simplicial-set) 

  ##  [Simplicial Set](https://mathlogic.quantumdictionary.io/simplicial-set-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A sequence of sets indexed by the nonnegative integers together with face and degeneracy maps satisfying the simplicial identities; a combinatorial object modelling simplices and their gluings used to represent homotopy types.