Stable homotopy, $1$-dimensional NCCW complexes, and Property (H)
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Published:2020-09-03
Issue:3
Volume:126
Page:617-638
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ISSN:1903-1807
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Container-title:MATHEMATICA SCANDINAVICA
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language:
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Short-container-title:Math. Scand.
Author:
An Qingnan,Elliott George A.,Liu Zhichao,Zhang Yuanhang
Abstract
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).
Publisher
Det Kgl. Bibliotek/Royal Danish Library
Subject
General Mathematics
Cited by
1 articles.
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