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- W4210885095 abstract "Publisher SummaryThis chapter presents the framework of the section related to analytic sets. The part of the volume presents the definition and the study of analytic sets in arbitrary dimensions. These sets are constructed from locally convex vector spaces that are supposed (unless the contrary is explicitly stated) to be complex and Hausdorff. The volume discusses the definitions and principal theorems concerning the notion of analytic map between locally convex spaces. The notion related to analytic spaces that is introduced is weaker than that used by A. Douady in his study of the “problem of modules.” The analytic structure is presented by the sheaf of analytic functions and not by all the sheaves of analytic maps to locally convex spaces as is the case for the “espaces–fonctés of [D O]. The volume also discusses the study of analytic functionals and introduces the notion of cotopological space. This notion is also used for introducing duality methods. Apart from the factorization properties that it possesses, the canonical this map introduces the use of the spectrum of the algebra of analytic functions. The volume also discusses the finite-dimensional subsets of analytic spaces of arbitrary dimension." @default.
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- W4210885095 date "1984-01-01" @default.
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- W4210885095 title "Part II Analytic Sets" @default.
- W4210885095 doi "https://doi.org/10.1016/s0304-0208(08)71699-2" @default.
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