# extended boundary

###### Definition.

Suppose that $\u2102$ is the complex plane^{} and $G\subset \u2102$. The extended boundary of $G$ denoted ${\partial}_{\mathrm{\infty}}G$ is defined as
the boundary of $G$ plus the point at infinity if in fact $G$ is unbounded.

The extended boundary of $G$ is really the boundary of $G$
in the extended complex plane^{} (the one-point
compactification of $\u2102$).

## References

- 1 John B. Conway. . Springer-Verlag, New York, New York, 1978.

Title | extended boundary |
---|---|

Canonical name | ExtendedBoundary |

Date of creation | 2013-03-22 14:12:11 |

Last modified on | 2013-03-22 14:12:11 |

Owner | jirka (4157) |

Last modified by | jirka (4157) |

Numerical id | 7 |

Author | jirka (4157) |

Entry type | Definition |

Classification | msc 30-00 |

Classification | msc 54-00 |

Related topic | BoundaryInTopology |