DSpace at EWHA: The study of the h-cobordism theorem and 2-spheres in 4-manifolds

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DC Field	Value	Language
dc.contributor.author	홍윤희	-
dc.creator	홍윤희	-
dc.date.accessioned	2016-08-25T04:08:36Z	-
dc.date.available	2016-08-25T04:08:36Z	-
dc.date.issued	1992	-
dc.identifier.other	OAK-000000022773	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/180727	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000022773	-
dc.description.abstract	In this paper, we would like to investigate the h-cobordism Theorem and the Poincare' Conjecture, Also we would like to find a Counter example of the Whitney's Lemma in dimension 4.;본 논문에서는 h-cobordism 이론과 Poincare의 Cojecture를 연구해 보고자 한다. 또한 본 논문에서는 Whitney의 보조정리에 위배되는 예를 4차원상에서 찾고자한다.	-
dc.description.tableofcontents	Contents = ⅰ ABSTRACT = ⅲ INTRODUCTION = ⅳ CHAPTER 1 = 1 1. The h-cobordism Category. = 1 2. Morse function, Gradient-like vector field and Characteristic embedding. = 3 Chapter 2. The h-cobordism Theorem = 7 1. The h-cobordism theorem in dimension ≠ 3,4. = 7 2. The h-cobordism Theorem in dimension 3. = 10 3. The h-cobordism Theorem in dimension 4. = 10 (1). Counter example of the Whitney's Lemma. = 11 (2). The h-cobordism Theorem in dimension 4. = 20 (3). The special case of the h-cobordism TheoreM in dimension 4. = 22 Chapter 3. The relation between the Poincare's Conjecture and the h-cobordism Theorem. = 25 1. Dimension of W≥6 (n≥6) = 25 2. Dimension of W=5 (n=5) = 26 3. Dimension of W=4 (n=4) = 26 Reference = 27 논문초록 = 29	-
dc.format	application/pdf	-
dc.format.extent	616890 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.subject	h-cobordism	-
dc.subject	manifolds	-
dc.subject	2-spheres	-
dc.title	The study of the h-cobordism theorem and 2-spheres in 4-manifolds	-
dc.type	Master's Thesis	-
dc.format.page	v, 29 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	1992. 2	-