- 거리공간의 완비성에 대한 연구
- We prove that finite dimensional euclidean space ℝ is complete with respect to both usual metric(euclidean metric) and square metric. Moreover, we prove that infinite dimensional euclidean space ℝ is complete with respect to the uniform metric.
We study the compactness of metric space and prove the main theorem called Ascoli Theorem.
- 0. Introduction 2
1. Complete Metric Space 4
2. Compactness in Metric Spaces 12
3. Ascoli Theorem 16
Appears in Collections:
- College of Education(사범대학) > Graduate School of Education (교육대학원) > Theses(교육대학원 석박사 학위논문)
- Files in This Item:
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.