同伦论的历史演变  

Historical Evolution of Homotopy Theory

作　　者：王昌[1] 

机构地区：[1]西北大学科学史高等研究院,陕西西安710127

出　　处：《自然辩证法通讯》2017年第6期56-60,共5页Journal of Dialectics of Nature

基　　金：国家自然科学基金资助项目(项目编号:11501444;11726019)

摘　　要：同伦论的创立,在近代数学乃至近代科学的发展中占有非常重要的地位。本文在原始文献及研究文献的基础之上,整理和发掘同伦论历史演变过程中相关数学家的数学思想,并结合当时数学发展的主要趋势,探寻有关数学思想和方法产生的历史根源、传承关系,进而揭示同伦论历史演变过程的清晰思想脉络和重要影响。Homotopy theory plays a very important role in modem mathematics and science. Based on relevant original documents and research materials, this paper has a sorting and exploration of the mathematical thoughts proposed by relevant mathematicians in the history evolution of homotopy theory, and combined the main trend of mathematics at that time, outline the historical root and inheritance relationship of related mathematical thought and method, and then reveals the clear sequence of thought and significant influence of historical evolution of homotopy theory.

关 键 词：数学史 拓扑学史 同伦论 同调论 

分 类 号：N09[自然科学总论—科学技术哲学]