PL球形纤维束欧拉类局部组合公式的初步探讨

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2023-01-01 DOI:10.4213/sm9737e

Gaiane Yur'evna Panina

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引用次数: 0

摘要

本文给出了纤维定向三角形球形纤维束欧拉类的局部组合公式的一个初等方法。这种方法是基于截面平均技术和简单(co)同调理论的基本知识。我们的公式与Mnëv的公式非常接近。参考书目:9篇。

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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An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fibre bundle

We present an elementary approach to local combinatorial formulae for the Euler class of a fibre-oriented triangulated spherical fibre bundle. This approach is based on sections averaging technique and very basic knowledge of simplicial (co)homology theory. Our formulae are close relatives of those due to Mnëv. Bibliography: 9 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis