Real Algebraic and Analytic Geometry
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Some properties of global semianalytic subsets of coherent surfaces.

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homepage: http://www.mat.ucm.es/deptos/al/personal/carlos/home.html

Submission: 2003, May 12.

Abstract:
Let \$X \subset \R^n\$ be a coherent analytic surface. We see that the connected components of a global analytic subsets of \$X\$ are global and compute the stability index and the Bröcker's \$t\$-invariant of \$X\$. Finally, we state a real nullstellensatz for normal surfaces.

Mathematics Subject Classification (2000): 14P15, 32B15, 32B20.

Keywords and Phrases: Coherent surfaces, real analytic sets, analytic functions, maximal ideals.

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