disjoint disks property

A metric space $(X,d)$ is said to have the disjoint disks property (DDP) if for every pair of continuous maps $f,g:B^{2}\to X$ of the closed unit 2-ball (http://planetmath.org/StandardNBall) $B^{2}$ into $X$ and every $\epsilon>0$ there exist continuous maps $f^{\prime},g^{\prime}:B^{2}\to X$ such that $d(f,f^{\prime})<\epsilon$ , $d(g,g^{\prime})<\epsilon$ and $f^{\prime}(B^{2})\cap g^{\prime}(B^{2})=\varnothing$.

Title disjoint disks property DisjointDisksProperty 2013-03-22 16:50:45 2013-03-22 16:50:45 Mathprof (13753) Mathprof (13753) 8 Mathprof (13753) Definition msc 54E35