亚历山大罗夫:莫斯科拓扑学派的奠基人  

Aleksandrov: Founder of Moscow Topological School

作　　者：徐乃楠[1] 刘璐荧 刘鹏飞[1] XU Nainan;LIU Luying;LIU Pengfei(Research Center of Mathematics Education and History of Mathematics,Jilin Normal University,Siping,Jilin,136000)

机构地区：[1]吉林师范大学数学教育与数学史研究中心,吉林四平136000

出　　处：《自然辩证法通讯》2025年第2期117-124,共8页Journal of Dialectics of Nature

基　　金：国家自然科学基金数学天元基金资助项目“19-20世纪的俄罗斯数学文化史”(项目编号:12326512)。

摘　　要：亚历山大罗夫是20世纪苏联优秀的数学家,他的数学研究开始于集合论和实变函数论领域,并获得了显著的成果.后致力于拓扑学的发展,他创立了紧致空间理论,发展了维数理论,拓展了集合和一般性质空间的组合研究方法,一般拓扑学的很多概念和定理都是以亚历山大罗夫命名,为后世的数学研究奠定了坚实基础。亚历山大罗夫还创立并发展了莫斯科大学拓扑学派。Pavel Sergeevich Aleksandrov was an outstanding mathematician in the Soviet Union in the 20th century.His mathematical research began in the field of set theory and real variable function theory,and achieved remarkable results.Later,he devoted himself to the development of topology.He founded the theory of compact space,significantly developed the theory of dimension,and developed the combinatorial research methods of set theory and general property space.Many concepts and theorems of general topology were named after Aleksandrov,which laid a solid foundation for the later mathematical research.Aleksandrov also founded and developed the topological school of Moscow University.

关 键 词：亚历山大罗夫 双紧致空间 同调维数论 莫斯科拓扑学派 

分 类 号：K811[历史地理—历史学] O18[理学—数学]