Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1421-1429.doi: 10.1016/S0252-9602(09)60114-4

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COBORDISM CLASSES OF FIBERINGS OVER PRODUCT OF PROJECTIVE SPACES

 WANG Yan-Ying, LI Jing-Yan   

  1. 1.College of |Mathematics and Information |Science, Hebei Normal University, Shijiazhuang 050016, China
    2.Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China
  • Received:2006-12-16 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Project Supported by NSFC (10371029), HNSF (103144) and SRF for ROCS, SEM

Abstract:

Let RP(k) denote the k-dimensional real projective space. This article determines which cobordism classes are represented by the total space of a fibering with prescribed base space RP(3)\times RP(1), RP(2)×RP(1), RP(2)\times RP(1)×RP(1) or $RP(3)\times RP(2).

Key words: fibering, characteristic number, cobordism class

CLC Number: 

  • 57R20
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