DSpace at EWHA: THE CONLEY INDEX ON TANGENT BUNDLES

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DC Field	Value	Language
dc.contributor.advisor	조용승	-
dc.contributor.author	조윤정	-
dc.creator	조윤정	-
dc.date.accessioned	2016-08-26T11:08:39Z	-
dc.date.available	2016-08-26T11:08:39Z	-
dc.date.issued	1993	-
dc.identifier.other	OAK-000000057652	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/202849	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000057652	-
dc.description.abstract	임의의 다양체의 isolated invariant set에 대한 Conley index를 이용하여 그 다양체의 homology를 구하고, tangent bundle상에서 Thom class 와 Conley index의 관계를 조사한다. ;Using the Conley index of an isolated invariant set in a manifold, we compute a homology of the manifold. On the tangent bundle, we investigate the relation between the Thom class and the Conley index.	-
dc.description.tableofcontents	ABSTRACT = 1 TABLE OF CONTENTS = 2 INTRODUCTION = 3 Chapter 1. Preliminaries = 4 1. Definitions = 4 2. The Conley Index And Morse Inequalities = 8 3. The Chain Complex Using Connecting Orbits = 14 4. The Thom Isomorphism = 18 Chapter 2. Extension Of The Idea Of The Conley Index On RP^(3) = 21 1. The Conley Index On RP^(3) = 21 (1) A Morse Function On RP^(n) = 21 (2) Flows On RP^(3) = 22 2. The Conley Index On The Tangent Bundle Of RP^(3) = 25 (1) Flows On T(RP^(3)) = 25 (2) The Thom Class And The Conley Index = 27 REFERENCES = 29 논문초록 = 30	-
dc.format	application/pdf	-
dc.format.extent	535741 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.title	THE CONLEY INDEX ON TANGENT BUNDLES	-
dc.type	Master's Thesis	-
dc.format.page	30 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	1993. 2	-