@article {
author = {Asadi-Golmankhaneh, Mohammad Ali},
title = {Multiple point of self-transverse immesions of certain manifolds},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {4},
pages = {869-882},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
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.},
keywords = {Immersion,Hurewicz
homomorphism,spherical classes,Stiefel-Whitney number},
url = {http://bims.iranjournals.ir/article_292.html},
eprint = {http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf}
}