# bounded set

A set in a topological vector space^{} is bounded if it is absorbed by every neighborhood^{} of 0. That is, $B$ is bounded if for every neighborhood $U$ of 0, there
is a $\delta >0$ such that $\u03f5B\subset U$ for $$.

Title | bounded set |
---|---|

Canonical name | BoundedSet |

Date of creation | 2013-03-22 15:59:12 |

Last modified on | 2013-03-22 15:59:12 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 4 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 46A08 |