首页 | 本学科首页   官方微博 | 高级检索  
     


-regular maps on smooth manifolds
Authors:David Handel
Affiliation:Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Abstract:A continuous map $f:Xto mathbf R ^{N}$ is said to be $k$-regular if whenever $x_{1},dots , x_{k}$ are distinct points of $X$, then $f(x_{1}),dots , f(x_{k})$ are linearly independent over $mathbf R $. For smooth manifolds $M$ we obtain new lower bounds on the minimum $N$ for which a $2k$-regular map $M to mathbf R ^{N}$ can exist in terms of the dual Stiefel-Whitney classes of $M$.

Keywords:$k$-regular maps   configuration spaces   smooth manifolds   dual Stiefel-Whitney classes
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号