Topics on Real Analytic Spaces [Paperback]

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.Springer Book Archives