# intersection of complex analytic varieties is a complex analytic variety

A useful result allowing us to define the “smallest” analytic variety is the following.

###### Theorem.

Let $G\mathrm{\subset}{\mathrm{C}}^{N}$ be an open set, then an arbitrary intersection^{}
of complex analytic varieties in $G$ is a complex analytic variety in $G$.

## References

- 1 Hassler Whitney. . Addison-Wesley, Philippines, 1972.

Title | intersection of complex analytic varieties is a complex analytic variety |
---|---|

Canonical name | IntersectionOfComplexAnalyticVarietiesIsAComplexAnalyticVariety |

Date of creation | 2013-03-22 14:59:31 |

Last modified on | 2013-03-22 14:59:31 |

Owner | jirka (4157) |

Last modified by | jirka (4157) |

Numerical id | 6 |

Author | jirka (4157) |

Entry type | Theorem |

Classification | msc 32A60 |