Some properties of global semianalytic subsets of coherent surfaces (Q1765976)

The authors investigate global analytic subsets of real coherent analytic surfaces. After an introductory part where they recall definitions and properties of global analytic and semianalytic sets, they prove that the connected components of global analytic subsets of coherent analytic surfaces are global as well. In the last section of the paper they prove a beautiful version of the real Nullstellensatz for normal real analytic surfaces.