Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2012-12-25

Journal: 黑龙江大学自然科学学报

Included Journals: ISTIC、PKU

Issue: 06

Page Number: 743-747

ISSN: 1001-7011

Key Words: 3-流形;Heegaard分解;同调分解同态

Abstract: 考虑Heegaard分解U∪SV的同调分解同态,包含映射i:S→U,j:S→V诱导了同调群同态i#:H1(S)→H1(U),j#:H1(S)→H1(V)。研究可定向闭三维流形M的Heegaard分解U∪SV的同调分解同态(i#,j#):H1(S)→H1(U)×H1(V),得到同调分解同态的若干性质。