Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 조민재 | - |
dc.creator | 조민재 | - |
dc.date.accessioned | 2016-08-25T06:08:41Z | - |
dc.date.available | 2016-08-25T06:08:41Z | - |
dc.date.issued | 2003 | - |
dc.identifier.other | OAK-000000028837 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181716 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000028837 | - |
dc.description.abstract | We introduce definitions of Euler characteristic in intersection theory, fixed point theory, vector field theory, and Morse theory. In each theorem, Euler characteristic is defined as a sum of 'certain values' at 'certain points'. In this thesis, by studying the relations and meaning of the points and values, we can interpret the Euler characteristic with one statement: Euler characteristic is a sum of orientation numbers at nondegenerate intersections.;많은 이론들에서 정의된 Euler characteristic은 특정 점에서의 특정 값들의 합이다. 본 논문에서는 이러한 점들과 값들의 관계, 그리고, 그 의미를 연구함으로써 많은 Euler characteristic의 정의를 'nondegenerate intersection 에서의 orientation number 들의 합'으로 재해석하였다. | - |
dc.description.tableofcontents | CONTENTS = ⅰ 1.INTRODUCTION = 1 2. POINTS IN THE EULER CHARACTERISTIC = 3 2.1. Relationship of the points = 3 2.2 The meaning of the points = 9 3. LOCAL VALUES IN TEH EULER CHARACTERISTIC = 17 3.1 Local value at a transversal intersection = 17 3.2 Local value at an intersection = 21 4. EULER CHARACTERISTIC AS A GLOBAL SUM = 23 REFERENCES = 27 | - |
dc.format | application/pdf | - |
dc.format.extent | 1161132 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | intersection theory | - |
dc.subject | Euler characteristic | - |
dc.subject | Mathematics | - |
dc.title | Euler characteristic interpreted by intersection theory | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 27 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2003. 8 | - |