Source: wikibot/path-space-algebraic-topology
= Path space (algebraic topology)
{wiki=Path_space_(algebraic_topology)}
In algebraic topology, the path space of a topological space \\( X \\) is a space that represents all possible continuous paths in \\( X \\). More formally, the path space \\( P(X) \\) is defined as the space of continuous maps from the unit interval \\( \[0, 1\] \\) into \\( X \\).