Double point self-transverse immersions of |
| |
Authors: | Mohammad A. Asadi-Golmankhaneh |
| |
Affiliation: | aDepartment of Mathematics, University of Urmia, PO Box 165, Urmia, Iran |
| |
Abstract: | A self-transverse immersion of a smooth manifold M8k in has a double point self-intersection set which is the image of an immersion of a smooth four-dimensional manifold, cobordent to P4, P2×P2, P4+P2×P2 or a boundary. We will prove that for any value of k>1 the double point self-intersection set is a boundary. If k=1, then there exists an immersion of P2×P2×P2×P2 in with double point manifold boundary and odd number of triple points. In particular any immersion of oriented manifold in this dimension has double point manifold cobordant to a boundary. |
| |
Keywords: | Immersion Hurewicz homomorphism Spherical classes Hopf invariant Stiefel– Whitney numbers |
本文献已被 ScienceDirect 等数据库收录! |
|