Titlebook: Stein Manifolds and Holomorphic Mappings; The Homotopy Princip Franc Forstnerič Book 20111st edition Springer-Verlag Berlin Heidelberg 2011

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Oka Manifolds,The main example is the classical theorem of Oka and Grauert stating that the topological classification of principal fiber bundles over Stein spaces agrees with their holomorphic classification. The chapter begins with an introduction to the Oka-Grauert principle and its reduction to the problem of

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Elliptic Complex Geometry and Oka Principle, result is a theorem of Gromov (1989) and some of its generalizations. Roughly stated, it says that the existence of a finite dominating family of fiber-sprays on . over each sufficiently small open subset of . implies all forms of the Oka principle for sections .→.; the analogous result is proved i

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0071-1136 the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary..978-3-642-22250-4Series ISSN 0071-1136 Series E-ISSN 2197-5655

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0071-1136 heory and its modern extensions.Contains a wide variety of a.The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extension

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Baohe Zuo,Sue Zheng,Hong Wu“Fundamental Physics.” The main goal of this mission is the test of the weak equivalence principle by measuring any difference in the rate of fall of test masses within an Earth-orbiting satellite with an accuracy of one part in 10. of the total gravitational acceleration. To achieve this level of a

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Multiplier-Accelerator Models Revisitedional spatial setting and augmented by an interregional trade multiplier. It is seen that this produces complex patterns of change like a distributed lag system. Moreover, the action of the accelerator is made non-linear as suggested by Goodwin. This changes the system to produce limit cycles. The l