Cobordism group of morse functions on unoriented surfaces

被引：12
|
作者：
Kalmár, B [1 ]
机构：
[1] Eotvos Lorand Univ, H-1117 Budapest, Hungary
来源：
KYUSHU JOURNAL OF MATHEMATICS | 2005年 / 59卷 / 02期
关键词：
cobordism; fold singularity; Morse function; Reeb graph; Stein factorization;
D O I：
10.2206/kyushujm.59.351
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
lkegami and Saeki have proved that the cobordism group of Morse functions oil oriented surfaces is an infinite cyclic group. Their method is applicable, with a little modification, to the computation of the cobordism group of Morse functions on unoriented surfaces. We prove that this group is isomorphic to the direct sum of the infinite cyclic group and the finite group of order two.
引用
收藏
页码：351 / 363
页数：13
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