Small non-Leighton two-complexes

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2021-08-03 DOI:10.1017/S0305004122000317

Natalia S. Dergacheva, A. Klyachko

引用次数: 2

Abstract

Abstract How many 2-cells must two finite CW-complexes have to admit a common, but not finite common, covering? Leighton’s theorem says that both complexes must have 2-cells. We construct an almost (?) minimal example with two 2-cells in each complex.

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小的非雷顿二复合体

两个有限的化合物必须有多少个2胞才能有一个共同而非有限共同的覆盖?雷顿定理说两个复合体都必须有2个细胞。我们构造了一个几乎最小的例子，每个复合体中有两个2单元格。

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

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.