%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