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Castilla, A. and Andradas Heranz, Carlos
(1996)
*Connected components of global semianalytic subsets of 2-dimensional analytic manifolds.*
Journal für die Reine Angewandte Mathematik, 475
.
pp. 137-148.
ISSN 0075-4102

Official URL: http://gdz.sub.uni-goettingen.de/no_cache/dms/load/toc/?IDDOC=238618

## Abstract

Let M be a connected paracompact real analytic manifold and S a semi-analytic subset.

The following results are proved:

1) If dim(M) = 2 and S is globally semianalytic, then every connected component of S is again globally semianalytic.

2) S is globally semianalytic, if and only if its boundary Bd(S) is globally semianalytic.

Item Type: | Article |
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Uncontrolled Keywords: | globally semianalytic sets |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14819 |

Deposited On: | 18 Apr 2012 09:46 |

Last Modified: | 18 Apr 2012 09:46 |

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