An algebraic study of the Klein Bottle

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2016-11-08 DOI:10.1007/s40062-016-0156-9

Larry A. Lambe

引用次数: 0

Abstract

We use symbolic computation (SC) and homological perturbation (HPT) to compute a resolution of the integers \(\mathbb {Z}\) over the integer group ring of G, the fundamental group of the Klein bottle. From this it is easy to read off the homology of the Klein bottle as well as other information.

Abstract Image

查看原文本刊更多论文

克莱因瓶的代数研究

我们使用符号计算(SC)和同调微扰(HPT)计算了整数\(\mathbb {Z}\)在克莱因瓶的基本群G的整数群环上的分辨率。由此很容易读出克莱因瓶的同源性以及其他信息。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

自引率

0.00%

发文量

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.