Abstract.We study characteristic numbers of the manifold immersed in the multiple point set of a self-transverse immersion of a closed manifold in the sphere. The signature of the manifold immersed in the multiple point set is described as the characteristic number with L-classes.
Abstract.We study the Euler characteristic modulo 2 of the manifold immersed in the multiple point set of the self-transverse immersions of the real projective space RP n and the Milnor manifold H m,n in the sphere.
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