
doi: 10.1007/bf02825303
In this paper we define a new kind of blowing-up, as a functor from the category of real analytic spaces to the category of real semianalytic spaces, in such a way that orientability is preserved. Then we prove an existence theorem for «oriented blowing-ups» of real analytic spaces.
Real-analytic manifolds, real-analytic spaces, Deformations of submanifolds and subspaces, Real-analytic and Nash manifolds, Analytic subsets and submanifolds, Analytic subsets of affine space, Semi-analytic sets, subanalytic sets, and generalizations, Real Semianalytic Spaces, Blowing-Up, Real Analytic Spaces
Real-analytic manifolds, real-analytic spaces, Deformations of submanifolds and subspaces, Real-analytic and Nash manifolds, Analytic subsets and submanifolds, Analytic subsets of affine space, Semi-analytic sets, subanalytic sets, and generalizations, Real Semianalytic Spaces, Blowing-Up, Real Analytic Spaces
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