DSpace at EWHA: THE SPHERICAL MODIFICATION ON SIMPLY-CONNECTED 4-MANIFOLD

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DC Field	Value	Language
dc.contributor.advisor	조용승	-
dc.contributor.author	지영희	-
dc.creator	지영희	-
dc.date.accessioned	2016-08-26T11:08:22Z	-
dc.date.available	2016-08-26T11:08:22Z	-
dc.date.issued	1993	-
dc.identifier.other	OAK-000000057621	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/203328	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000057621	-
dc.description.abstract	본 논문에서는 Simply-connected인 4차원 다양체로부터 spherical modification 에 의해 만들어지는 새로운 다양체가 주어진 다양체와 S^(2)상의 어떤 S^(2)-번들과의 connected sum 임을 증명한다.;In this paper, we would like to prove that a manifold obtained by a spherical modification from a simply-connected 4-dimensional manifold is of the from N#T(k) for some k∈Z, up to diffeomorphism, where T(k) is a S^(2)-bundle over S^(2) with degree k reduction of S^(1)-bundle.	-
dc.description.tableofcontents	ABSTRACT = 1 TABLE OF CONTENTS = 2 INTRODUCTION = 3 Chapter 1. Preliminaries. = 5 Chapter 2. Spherical modification. = 8 Chapter 3. Low dimensional manifolds = 10 1. The classification of compact 1-manifolds. = 10 2. The classification of 2-dimensional manifolds. = 10 Chapter 4. Spherical modification on 4-manifolds = 12 1. 2-sphere bundles over S^(2) = 12 2. The basic construction = 15 3. Simply - connected manifold. = 19 4. Application to imbedding sphere = 26 References = 28 논문초록 = 30	-
dc.format	application/pdf	-
dc.format.extent	591168 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.title	THE SPHERICAL MODIFICATION ON SIMPLY-CONNECTED 4-MANIFOLD	-
dc.type	Master's Thesis	-
dc.format.page	30 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	1993. 2	-