 ##  [Mapping Telescope](/mapping-telescope) 

  ##  [Mapping Telescope](https://puremath.quantumdictionary.io/mapping-telescope-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 topological construction that assembles a sequence of spaces and maps X_1 → X_2 → X_3 → ··· into a single 'telescope' space by gluing mapping cylinders end-to-end, modeling the sequential homotopy colimit and allowing study of limiting homotopy or homology behavior.