张明星

Associate Professor   Supervisor of Master's Candidates

Gender:Male

Alma Mater:大连理工大学

Degree:Doctoral Degree

School/Department:数学科学学院

Business Address:数学楼305

E-Mail:


Paper Publications

3维流形中的双侧可压缩曲面与薄形分解

Hits:

Date:2019-03-10

Indexed by:Journal Article

Date of Publication:2008-06-15

Journal:数学年刊A辑

Included Journals:CSCD、ISTIC、PKU

Volume:29

Issue:3

Page Number:307-314

ISSN:1000-8134

Key Words:双侧可压缩曲面;Heegaard分解;薄形分解

Abstract:对一个3维流形的任何一组彼此不相交的非过剩的双侧可压缩曲面集所含有的元素个数证明了是有上界的,记为No(M).记L0(M)为M的薄形分解的长度,则有L0(M)≤N0(M)+|(e)M|,记L0(V ∪ W)为M的Heegaard分解M=V ∪ W的薄形分解的长度,则对M的任意不可稳定化的Heegaard分解都有L0(V ∪ W)≤N0(W)+|(e)M|.