Assistant Prof. Mathematics Department, Urmia University
Abstract
In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{13}$ with double point manifold cobordant to Dold manifold $V^5$, and an immersion of $P^2times P^2times P^2times P^2times P^2$ in $mathbb{R}^{15}$ with double point manifold a boundary and the triple point set is odd number. These will be done by introducing the product technique and reading off the Stiefel-Whitney numbers of the self-intersection manifolds.
Asadi-Golmankhaneh, M. A. (2012). Multiple point of self-transverse immesions of certain manifolds. Bulletin of the Iranian Mathematical Society, 38(4), 869-882.
MLA
Mohammad Ali Asadi-Golmankhaneh. "Multiple point of self-transverse immesions of certain manifolds". Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 869-882.
HARVARD
Asadi-Golmankhaneh, M. A. (2012). 'Multiple point of self-transverse immesions of certain manifolds', Bulletin of the Iranian Mathematical Society, 38(4), pp. 869-882.
VANCOUVER
Asadi-Golmankhaneh, M. A. Multiple point of self-transverse immesions of certain manifolds. Bulletin of the Iranian Mathematical Society, 2012; 38(4): 869-882.
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