Source: wikibot/nilpotent-space
= Nilpotent space
{wiki=Nilpotent_space}
In the context of topology, a **nilpotent space** is often associated with the concept of **nilpotent groups** in algebra, particularly in relation to algebraic topology, where one considers the properties of spaces through their homotopy and homology. A topological space is said to be **nilpotent** if its higher homotopy groups become trivial after some finite stage.