Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision  

作　　者：Hongjie ZHANG Linan ZHONG Hao ZHAO 

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China [2]Department of Mathematics,Yanbian University,Yanji 133002,Jilin,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第1期35-48,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 12001474,12171165, 12261091);Guangdong Natural Science Foundation (No. 2021A1515010374)

摘　　要：In this paper, using the notion of subdivision, the authors generalize the definition 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.

关 键 词：Digital topology Digital cofibration Lusternik-Schnirelmann category 

分 类 号：O189[理学—数学]