IF 0.6
4区 数学
Q3 MATHEMATICS
引用次数: 0
摘要
拓扑空间的许多属性（如紧凑性）都具有这样的形式：空间的某一类型的任何覆盖都包含另一类型的子覆盖。我们引入了这种选择原型的博弈论类似物--接受/拒绝博弈，并将其与经典博弈和选择原则联系起来。这个博弈的修正版被证明等同于标准选择原则博弈。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Accept/Reject games
Many properties of topological spaces, like compactness, have the form that any cover of the space of a certain type contains a subcover of some other type. We introduce a game theoretic analogue of this selection prototype, the Accept/Reject game, and relate it to classical games and selection principles. Modified versions of this game are shown to be equivalent to standard selection principles games.
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来源期刊
CiteScore
1.20
自引率
33.30%
发文量
251
审稿时长
6 months
期刊介绍：
Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology.
At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.
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