利用滤波光谱证明广义几何边界定理
IF 0.6
4区 数学
Q3 MATHEMATICS
引用次数: 0
摘要
在 [1, Lem. A.4.1] 中，贝伦斯概括了经典的几何边界定理 [10, Thm.］在本文中，我们将重新表述 [1, Lem. A.4.1]，修正贝伦斯的一个错误，并用滤波谱语言证明它。本文章由计算机程序翻译，如有差异，请以英文原文为准。
A proof of the generalized geometric boundary theorem using filtered spectra
In [1, Lem. A.4.1], Behrens generalized the classical geometric boundary theorem [10, Thm. 2.3.4]. In this article, we will reformulate [1, Lem. A.4.1] to fix a mistake made by Behrens, and prove it using the language of filtered spectra.
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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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