Topics on real analytic spaces
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Topics on real analytic spaces
（Advanced lectures in mathematics）
F. Vieweg, c1986
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Description and Table of Contents
Table of Contents
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.
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