 ##  [Homology Group](/homology-group) 

  ##  [Homology Group](https://natural.quantumdictionary.io/homology-group-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A homology group is an algebraic invariant of a topological space obtained by forming cycles modulo boundaries in a chain complex; it measures k-dimensional 'holes' and is graded by dimension.