ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR

doi:10.1090/tran/8630

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	ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR
	Klein, John R.1; Qin, Lizhen 2; Su, Yang 3,4
	2022-03-31
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
页码	33
摘要	We establish a number of foundational results on Poincare acute accent spaces which result in several applications. One application settles an old conjecture of C.T.C. Wall in the affirmative. Another result shows that for any natural number n, there exists a finite CW pair (X, Y ) satisfying relative Poincare acute accent duality in dimension n with the property that Y fails to satisfy Poincare acute accent duality. We also prove a relative version of a result of Gottlieb about Poincare acute accent duality and fibrations.
关键词	Poincare? space Poincare? duality
DOI	10.1090/tran/8630
收录类别	SCI
语种	英语
资助项目	Simons Foundation Collaboration Grant[317496] ; [NSFC11871272] ; [NSFC11571343]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000798456400001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61328
专题	中国科学院数学与系统科学研究院
通讯作者	Klein, John R.
作者单位	1.Wayne State Univ, Dept Math, Detroit, MI 48202 USA 2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Klein, John R.,Qin, Lizhen,Su, Yang. ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2022:33.
APA	Klein, John R.,Qin, Lizhen,&Su, Yang.(2022).ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,33.
MLA	Klein, John R.,et al."ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2022):33.