Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 259-267.doi: 10.1016/S0252-9602(11)60226-9

• Articles • Previous Articles     Next Articles

MULTIPLE POINTS OF IMMERSIONS OF M6 \looparrowright R7

Mohammad A.Asadi-Golmankhaneh   

  1. Department of Mathematics, University of Urmia, P.O. Box 165, Urmia, Iran
  • Received:2008-06-24 Online:2011-01-20 Published:2011-01-20

Abstract:

In this article, we determine the multiple point set of immersions of 6-dimensional manifolds into 7-dimensional Euclidean space R7. The method is to evaluate the charac-teristic numbers of these manifolds. By a certain method, these numbers can be read of from the Hurewicz image of

hπ7QMO(1) →H7QMO(1).
In particular, we show that for any immersion of P6 in R7 the double, 4-fold and 6-fold point manifolds are cobordant to boundaries and triple point manifolds cobordant to P4, 5-fold point manifolds cobordant to P2 and 7-fold point manifold are odd number.

Key words: Immersion, Hurewicz homomorphism, spherical classes, Stiefel-Whitney number

CLC Number: 

  • 57R42
Trendmd