 ##  [Shape Theory](/shape-theory) 

  ##  [Shape Theory](https://puremath.quantumdictionary.io/shape-theory-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A homotopy-like framework that records the global homotopical or 'large-scale' type of spaces by approximating them with simpler objects (typically polyhedra) and working in an inverse or pro-homotopy category so that small-scale pathologies are ignored.