Le lemme de Sperner nu

IF 1.8 4区管理学 Q3 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Rairo-Operations Research Pub Date : 1998-01-01 DOI:10.1051/RO/1998320201931

C. Bidard

引用次数: 1

Abstract

Several versions of the Sperner lemma are established. They are called naked because they hold for any type of object, non necessarily of geometrical nature, provided that the families of objects are stable with regard to some combinatorial operations. The existence proofs are constructive. The results apply in particular to geometry (outside the initial simplicial model) and a problem of economic theory.

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几个版本的斯伯纳引理被建立。它们被称为裸，因为它们适用于任何类型的物体，不一定是几何性质的，只要物体族在某些组合运算中是稳定的。存在性证明是建设性的。结果特别适用于几何(在最初的简单模型之外)和一个经济理论问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Rairo-Operations Research 管理科学-运筹学与管理科学

CiteScore

3.60

自引率

22.20%

发文量

206

审稿时长

>12 weeks

期刊介绍： RAIRO-Operations Research is an international journal devoted to high-level pure and applied research on all aspects of operations research. All papers published in RAIRO-Operations Research are critically refereed according to international standards. Any paper will either be accepted (possibly with minor revisions) either submitted to another evaluation (after a major revision) or rejected. Every effort will be made by the Editorial Board to ensure a first answer concerning a submitted paper within three months, and a final decision in a period of time not exceeding six months.