%0 Journal Article
%T Multiple point of self-transverse immesions of certain manifolds
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Asadi-Golmankhaneh, Mohammad Ali
%D 2012
%\ 12/15/2012
%V 38
%N 4
%P 869-882
%! Multiple point of self-transverse immesions of certain manifolds
%K Immersion
%K Hurewicz
homomorphism
%K spherical classes
%K Stiefel-Whitney number
%R
%X 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.
%U http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf