Fiberings with Fiber RP(k)  

作　　者：Zuo LIU Zhen De WU 

机构地区：[1]Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第5期997-1000,共4页数学学报（英文版）

基　　金：This work is supported by HNSF(Grant No:103144); NNSF of China(10371029)

摘　　要：Let κ be non-negative integer. The unoriented bordism classes, which can be represented as [RP（ξ^κ）] where ξ^κ is a k-plane bundle, form an ideal of the unoriented bordism ring MO.. A group of generators of this ideal expressed by a base of MO. and a necessary and sufficient condition for a bordism class to belong to this ideal are given.Let κ be non-negative integer. The unoriented bordism classes, which can be represented as [RP（ξ^κ）] where ξ^κ is a k-plane bundle, form an ideal of the unoriented bordism ring MO.. A group of generators of this ideal expressed by a base of MO. and a necessary and sufficient condition for a bordism class to belong to this ideal are given.

关 键 词：Bordism classes Characteristic number Fibering PARTITION 

分 类 号：O173.1[理学—数学]