横截性的本质探讨  

Study on the Essence of Transversality

作　　者：方丽菁[1] 

机构地区：[1]广西民族大学数学与计算机科学学院,南宁530006

出　　处：《桂林理工大学学报》2011年第3期457-462,共6页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(10771220);广西科学研究与技术开发计划项目(桂科基0448019)

摘　　要：横截性是一个重要但又相对难理解的微分拓扑概念。对横截性概念的本质进行了探讨,剖析其蕴含的直观背景取向,给出3种更为详尽的等价阐述。同时,对每种等价阐述作相应的合理解释和论证,构造例子指出横截性概念与广义横截性概念之间的本质关联。Transversality is an important but relatively indigestible concept in differential topology.In this paper,the essence of transversality is discussed.The intuitionistic background and the sign tropism which transversality implies are analyzed.Three equivalent definitions with more exquisiteness are introduced,with equivalent definition explained and proved.The relation between generalized transversality and classic transversality is pointed out by constructing an example.

关 键 词：淹没 正则性 横截性 横截性等价定义 广义横截性 

分 类 号：O189.32[理学—数学]