粗糙空间上的扭曲系数及其日冕

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-04-24 DOI:10.1007/s00010-024-01061-5

Elisa Hartmann

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引用次数: 0

摘要

那么度量空间之间的粗糙映射（f:X/arightrow Y）就被映射为冠状空间之间的连续映射（\nu '({f}):\nu '({X})\arightrow \nu '({Y})\) 。分配给粗度量空间的 Sheaf 同调被保留下来，并通过冠状函数反映出来。这项工作揭示了分析希格森日冕的新工具。

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Twisted coefficients on coarse spaces and their corona

To a metric space X we associate a compact topological space \(\nu '({X})\) called the corona of X. Then a coarse map \(f:X\rightarrow Y\) between metric spaces is mapped to a continuous map \(\nu '({f}):\nu '({X})\rightarrow \nu '({Y})\) between coronas. Sheaf cohomology assigned to a coarse metric space is preserved and reflected by the corona functor. This work reveals new tools to analyze the Higson corona.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.