半功率的全部功率

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2022-12-01 DOI:10.1016/j.exmath.2022.10.002

P. Amster , J. Ángel Cid

引用次数: 1

摘要

我们使用复平方根来定义一个非常简单的同伦不变量在圆上定义的非消失函数上。因此，我们提供了平面布劳威尔不动点定理和代数基本定理的简单证明。这个新的不变量与圈数和布鲁尔度的关系将被完全揭示。

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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The full power of the half-power

We use the complex square root to define a very simple homotopic invariant over the non-vanishing functions defined on the circle. As a consequence we provide easy proofs of the plane Brouwer fixed point theorem and the Fundamental Theorem of Algebra. The relation of this new invariant with the winding number and the Brouwer degree will be fully unveiled.

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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