 ##  [CW Complex](/cw-complex) 

  ##  [CW Complex](https://mathlogic.quantumdictionary.io/cw-complex-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topological space constructed inductively by attaching n-dimensional cells (homeomorphic to open n-balls) to the n−1 skeleton via attaching maps from the bounding (n−1)-spheres, equipped with the weak topology from the cell attachments and satisfying closure-finiteness.