ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR

doi:10.1090/tran/8630

	ON THE VARIOUS NOTIONS OF POINCAR?E DUALITY PAIR
	Klein, John R.1; Qin, Lizhen 2; Su, Yang 3,4
刊名	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
	2022-03-31
页码	33
关键词	Poincare? space Poincare? duality
ISSN号	0002-9947
DOI	10.1090/tran/8630
英文摘要	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.
资助项目	Simons Foundation Collaboration Grant[317496] ; [NSFC11871272] ; [NSFC11571343]
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000798456400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61327]
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.