Mathematical Methods for Economic Theory 2: 10 - Brossura

Moore, James C. C.

Brossura

ISBN 10: 3642085520 ISBN 13: 9783642085529

Casa editrice: Springer, 2010

Riassunto

This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces

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Contenuti

An Introduction to Topology.- Basic Concepts.- Closed Sets and Closures.- Topological Bases.- Continuous Functions.- Metric Spaces.- Complete Metric Spaces.- Nets and Convergence.- Additional Topics in Topology.- Relative and Product Topologies.- Compactness.- Hausdorff and Normal Spaces.- Compact Metric Spaces.- Connected Spaces.- Paracompactness and Partitions of Unity.- Correspondences.- Preliminary Considerations.- Hemi-Continuous Correspondences.- Correspondences Defined by Functions.- Closed Correspondences.- The Domain and Range of Correspondences.- Compositions of Correspondences.- Operations with Correspondences.- Correspondences into Metric Spaces.- Open Correspondences and Open Sections.- Banach Spaces.- Preliminaries.- An Introduction to Banach Spaces.- Bounded Linear Mappings.- Some Fundamental Theorems.- Dual Spaces.- Topological Vector Spaces.- Introduction.- Continuous Functions and Convex Sets.- Separation Theorems.- Equilibrium Models in Hilbert Space.- Locally Convex Spaces.- Correspondences.- Selection and Fixed Point Theorems.- Maximum Theorems.- Sperner`s Lemma and the K-K-M Theorem.- Fixed Point Theorems.- Selection Theorems.- Equilibrium in an 'Abstract Economy'.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642085520
• ISBN 13: 9783642085529
• Rilegatura: Copertina flessibile
• Numero di pagine: 352
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania