Topology and its Applications

期刊简介：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.

【译文】拓扑及其应用主要关注发表中长篇原创研究论文。然而，也包含了一些经过精心挑选的综述或解释性论文。该期刊的数学重点是标题所暗示的：拓扑研究。人们认为，试图对拓扑进行一个明确的描述是不明智的，正如这个期刊所理解的拓扑。当然，该主题包括拓扑的代数、一般、几何和集合论方面，以及拓扑与其他数学学科之间的交互领域，例如拓扑代数、拓扑动力系统、泛函分析、范畴论。由于拓扑各个方面的作用持续变化，对主题的非具体划分有助于反映拓扑研究的当前状态。定期出版一个由J. van Mill和G.M. Reed编辑的名为“拓扑中的开放问题”的专栏。这是对1990年由van Mill和Reed编辑的、由North-Holland出版的同名书籍中列出的1100个问题的状态报告。