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Introduction

Ken Urai
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Ken Urai: Osaka University, Japan

Chapter 1 in Fixed Points and Economic Equilibria, 2010, pp 1-25 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:Mathematics is LanguageNotes on Some Mathematical Tools in This BookConvexityDualityAlgebraic methodsAxiomatic set theoryBasic Mathematical Concepts and DefinitionsSets, topologies, and notational conventionsSetsFamily of setsCartesian products and relationsFunctions and correspondencesBinary relationsAxiom of choice and products of a family of setsTopologyClosure and interiorContinuityConvergenceSubnet and cluster pointBase for a topologyProduct topologyQuotient topologyOther conceptsCompact sets, open coverings, and partition of unityVector space duality and hyperplaneNotes on References

Keywords: Fixed Point Theory; General Equilibrium Theory; Nash Equilibrium; Algebraic Topology; Homology Theory; Mathematical Logic; Model Theory; Economic Rationality; Methodology; Economics and Ethics (search for similar items in EconPapers)
Date: 2010
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