稳定同伦、$1$维NCCW配合物及其性质(H)

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2019-06-20 DOI:10.7146/math.scand.a-121092

Qingnan An, G. Elliott, Zhichao Liu, Yuanhang Zhang

引用次数: 1

摘要

在本文中，我们证明了具有相同KK类的两个单位一维NCCW复合物之间的同态是稳定的同调的，即在加上一个公共同态（具有有限维图像）后，它们是同调的。因此，任何一维NCCW络合物都具有性质（H）。

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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Stable homotopy, $1$-dimensional NCCW complexes, and Property (H)

In this paper, we show that the homomorphisms between two unital one-dimensional NCCW complexes with the same KK-class are stably homotopic, that is, after adding on a common homomorphism (with finite dimensional image), they are homotopic. As a consequence, any one-dimensional NCCW complex has the Property (H).

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.