ON ISOTOPY CLASSIFICATION OF EMBEDDINGS OF N-MANIFOLDS IN RP(2N)

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	ON ISOTOPY CLASSIFICATION OF EMBEDDINGS OF N-MANIFOLDS IN RP(2N)
	ZHANG, P
	1993-12-14
发表期刊	TOPOLOGY AND ITS APPLICATIONS
ISSN	0166-8641
卷号	53 期号:3 页码:301-315
摘要	In this paper the isotopy group of embeddings of an orientable closed manifold M in the real projective space of even dimension, a nonorientable manifold, in the metastable range, is computed in terms of the homotopy groups of M. The computation is based on the approach to embedding problems in normal bordism framework, which converts the calculations into those of singular homology groups of a certain elaborate space pair with twisted integers as coefficients. It forms part of a project which applies the normal bordism method to the existence and isotopy classification of differential embeddings of manifolds in manifolds in the metastable range.
关键词	DIFFERENTIAL MANIFOLDS EMBEDDINGS ISOTOPY NORMAL BORDISM HOMOLOGY WITH LOCAL COEFFICIENTS
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1993MP76800006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1728
专题	中国科学院数学与系统科学研究院
作者单位	ACAD SINICA, INST SYST SCI, BEIJING 100080, PEOPLES R CHINA
推荐引用方式 GB/T 7714	ZHANG, P. ON ISOTOPY CLASSIFICATION OF EMBEDDINGS OF N-MANIFOLDS IN RP(2N)[J]. TOPOLOGY AND ITS APPLICATIONS,1993,53(3):301-315.
APA	ZHANG, P.(1993).ON ISOTOPY CLASSIFICATION OF EMBEDDINGS OF N-MANIFOLDS IN RP(2N).TOPOLOGY AND ITS APPLICATIONS,53(3),301-315.
MLA	ZHANG, P."ON ISOTOPY CLASSIFICATION OF EMBEDDINGS OF N-MANIFOLDS IN RP(2N)".TOPOLOGY AND ITS APPLICATIONS 53.3(1993):301-315.