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三维流形Heegaard分解的同调分解同态

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Indexed by:期刊论文

Date of Publication:2012-12-25

Journal:黑龙江大学自然科学学报

Included Journals:PKU、ISTIC

Issue:06

Page Number:743-747

ISSN No.: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。

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