TY - JOUR
ID - 292
TI - Multiple point of self-transverse immesions of certain manifolds
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Asadi-Golmankhaneh, Mohammad Ali
AD - Assistant Prof. Mathematics Department, Urmia University
Y1 - 2012
PY - 2012
VL - 38
IS - 4
SP - 869
EP - 882
KW - Immersion
KW - Hurewicz
homomorphism
KW - spherical classes
KW - Stiefel-Whitney number
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_292.html
L1 - http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf
ER -