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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 |
|---|---|
| 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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