The Čech Type Homology Theory and Fixed Points

Ken Urai
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Ken Urai: Osaka University, Japan

Chapter 6 in Fixed Points and Economic Equilibria, 2010, pp 125-165 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:Basic Concepts in Algebraic TopologyStructures and categoriesInverse and direct limitsSimplexHomology theoryStar refinement of coveringČech homologyVietoris homologyVietoris and Čech cyclesVietoris—Begle Mapping and Local ConnectednessVietoris—Begle mappingLocally connected spacesNikaido's Analogue of Sperner's LemmaVietoris—Begle barycentric subdivisionVietoris—Begle mapping theoremAnalogue of Sperner's lemmaEilenberg—Montgomery's TheoremBibliographic Notes

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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