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| Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision* |
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Citation： |
Hongjie ZHANG,Linan ZHONG,Hao ZHAO.Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision*[J].Chinese Annals of Mathematics B,2023,44(1):35~48 |
| Page view： 919
Net amount： 697 |
Authors： |
Hongjie ZHANG; Linan ZHONG;Hao ZHAO |
Foundation： |
National Natural Science Foundation of China (Nos. 12001474,12171165, 12261091) and Guangdong Natural Science Foundation (No. 2021A1515010374). |
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| Abstract： |
In this paper, using the notion of subdivision, the authors generalize the defi- nition of cofibration in digital topology and show that this kind of cofibration is injective in the sense of subdivision. Meanwhile, they give the necessary condition under which a digital map is a cofibration. Furthermore, they consider the Lusternik-Schnirelmann category of digital maps in the sense of subdivision and give several fundamental homotopy properties about it. |
Keywords： |
Digital topology, Digital cofibration, Lusternik-Schnirelmann category |
Classification： |
55M30, 54A99 |
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