Real spectrum with Nash structural sheaf (Q1418388)

Using the definition of Nash structural sheaf over the real spectrum of a commutative ring given by \textit{M.-F. Roy} [in: Geométrie algébrique réelle et formes quadratiques, Lect. Notes Math. 959, 406--432 (1982; Zbl 0497.14009)] the author shows that the Nash structural sheaf is determined only by the underlying topological space. He gives easy descriptions of a stalk of this Nash sheaf and sections of this sheaf over an open basis. He also calculates the stalks and global sections of it in a restricted case. As an application, the author investigates some basic properties of ``separated'' morphisms of real schemes.