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Connected components of global semianalytic subsets of 2-dimensional analytic manifolds.

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

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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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