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半群作用的拓扑熵及其性质

Topological Entropy of Semi-group of Maps and Its Properties
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摘要 在半群作用下利用分离集和生成集构造上容量拓扑熵、Bowen拓扑熵、packing熵.讨论了三者之间在半群作用下的性质和关系. Under the action of semi-group,the topological entropy of upper capacity,Bowen topological entropy and packing entro-py are constructed by using separation set and generating set.The properties and relations among them under the action of semigroup are discussed.
作者 王威 吴晶晶 高晓燕 WANG Wei;WU Jingjing;GAO Xiaoyan(School of General Education,Nantong Institute of Technology,Nantong 226002,Jiangsu;School of Business,Nantong Institute of Technology,Nantong 226002,Jiangsu;School of Mathematical Science,Nanjing Normal University,Nanjing 210023,Jiangsu)
出处 《四川师范大学学报(自然科学版)》 CAS 2023年第4期519-524,共6页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金面上项目(11971236)。
关键词 半群 拓扑熵 紧致度量空间 semi-groups topological entropy compact metric space
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