Topics on Real Analytic Spaces

Inhaltsverzeichnis

• I Ringed Spaces.
• § 1. k-ringed spaces.
• § 2. Coherent sheaves.
• § 3. Embeddings.
• II Spaces and Varieties.
• § 1. General properties.
• § 2. Local properties.
• § 3. Global properties.
• § 4. Antiinvolutions.
• III Complexification.
• § 1. Complexification of germs.
• § 2. Local complexification.
• § 3. Global complexification.
• IV Real Analytic Varieties.
• § 1. Real part.
• § 2. Analytic subvarieties.
• § 3. Normalization.
• § 4. Desingularization.
• V Embeddings of Stein Spaces.
• § 1. A first relative embedding theorem.
• § 2. A second relative embedding theorem.
• § 3. ?-invariant embedding theorems.
• VI Embeddings of Real Analytic Varieties or Spaces.
• § 1. Varieties: the general case.
• § 2. Varieties: the pathological case.
• § 3. The non reduced case.
• § 4. Topologies on Cm(X, ? q).
• VII Approximations.
• § 1. The weak and strong topologies.
• § 2. Approximations.
• VIII Fibre Bundles.
• § 1. Generalities on analytic fibre bundles.
• § 2. A classification theorem.