Acta mathematica scientia, Series B >
MULTIPLE POINTS OF IMMERSIONS OF M6 \looparrowright R7
Received date: 2008-06-24
Online published: 2011-01-20
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
h : π7QMO(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.
Mohammad A.Asadi-Golmankhaneh . MULTIPLE POINTS OF IMMERSIONS OF M6 \looparrowright R7[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 259 -267 . DOI: 10.1016/S0252-9602(11)60226-9
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