Bounding Topology via Geometry,A-Simple Fundamental Groups  

作　　者：Xiaochun Rong Xuchao Yao 

机构地区：[1]Mathematics Department,Rutgers University New Brunswick,NJ 08903,USA. [2]Institute ofMathematics,Chinese Academy of Sciences,Beijing,P.R.China.

出　　处：《Communications in Mathematical Research》2020年第4期489-505,共17页数学研究通讯（英文版）

基　　金：the author Rong at Capital Normal University,which was partially supported by NSFC Grant 11821101,Beijing Natural Science Foundation Z19003,and a research fund from Capital Normal University.

摘　　要：We call a group A-simple,if it has no non-trivial normal abelian subgroup.We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.

关 键 词：A-simple fundamental group collapsing with bounded sectional curvature finiteness of fundamental groups and diffeomorphic types. 

分 类 号：O189[理学—数学] O177[理学—基础数学]