TY - JOUR
T1 - On the number of singularities of a generic surface with boundary in a 3-manifold
AU - Nuño-Ballesteros, J. J.
AU - Saeki, Osamu
PY - 1998/1/1
Y1 - 1998/1/1
N2 - We consider a C∞ generic map f: M → N of a compact surface M with boundary into a 3-manifold N with boundary which is neat (i.e., f−1(∂ N) = ∂ M). The isolated singularities of the image f(M) are triple points, cross caps and boundary double points. Under certain homological conditions, we give some formulae relating the numbers of these singularities. We also obtain some geometrical applications of these results.
AB - We consider a C∞ generic map f: M → N of a compact surface M with boundary into a 3-manifold N with boundary which is neat (i.e., f−1(∂ N) = ∂ M). The isolated singularities of the image f(M) are triple points, cross caps and boundary double points. Under certain homological conditions, we give some formulae relating the numbers of these singularities. We also obtain some geometrical applications of these results.
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U2 - 10.14492/hokmj/1351001460
DO - 10.14492/hokmj/1351001460
M3 - Article
AN - SCOPUS:33746828619
VL - 27
SP - 517
EP - 544
JO - Hokkaido Mathematical Journal
JF - Hokkaido Mathematical Journal
SN - 0385-4035
IS - 3
ER -