A topological space XXX is path-connected if for every pair of points x,y∈Xx,y \in Xx,y∈X, there exists a continuous function γ:[0,1]→X\gamma:[0,1]\to Xγ:[0,1]→X such that γ(0)=x\gamma(0)=xγ(0)=x and γ(1)=y\gamma(1)=yγ(1)=y.
Wikidata ID: Q3487687