邻近映射点定理

IF 0.6 3区数学 Q3 MATHEMATICS Algebraic and Geometric Topology Pub Date : 2023-09-26 DOI:10.2140/agt.2023.23.3043

Andrei V. Malyutin, Oleg R. Musin

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引用次数: 2

摘要

引入并研究了Borsuk-Ulam型定理和拓扑Radon型定理的一类新的推广。这个新家族的定义思想是用较温和形式的需求取代"在某种意义上较大的子集变成单个"的需求"在某种意义上较大的子集变成较小的子集"的需求。这种方法涵盖了m球到m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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Neighboring mapping points theorem

We introduce and study a new family of extensions for the Borsuk-Ulam and topological Radon type theorems. The defining idea for this new family is to replace requirements of the form `a subset that is large in some sense goes to a singleton' with requirements of the milder form `a subset that is large in some sense goes to a subset that is small in some sense'. This approach covers the case of mappings m-sphere to n-space with m

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