含零的有限集是映射度集

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-09-11 DOI:10.1016/j.aim.2024.109942

Cristina Costoya , Vicente Muñoz , Antonio Viruel

引用次数: 0

摘要

在本文中，我们从正面解决了这样一个问题：是否任何包含 0 的有限整数集都是两个同维度的定向闭合连通流形之间的映射度集。我们把这个问题扩展到有理集合，也给出了肯定的答案。

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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Finite sets containing zero are mapping degree sets

In this paper we solve in the positive the question of whether any finite set of integers, containing 0, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational setting, where an affirmative answer is also given.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.