# 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 $\u03f5>0$ there exist continuous maps
${f}^{\prime},{g}^{\prime}:{B}^{2}\to X$ such that
$$ ,
$$ and
${f}^{\prime}({B}^{2})\cap {g}^{\prime}({B}^{2})=\mathrm{\varnothing}$.

Title | disjoint disks property |
---|---|

Canonical name | DisjointDisksProperty |

Date of creation | 2013-03-22 16:50:45 |

Last modified on | 2013-03-22 16:50:45 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 8 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 54E35 |