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Euler characteristic interpreted by intersection theory
- Title
- Euler characteristic interpreted by intersection theory
- Authors
- 조민재
- Issue Date
- 2003
- Department/Major
- 대학원 수학과
- Keywords
- intersection theory; Euler characteristic; Mathematics
- Publisher
- 이화여자대학교 대학원
- Degree
- Master
- 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.
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- 일반대학원 > 수학과 > Theses_Master
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