거리공간의 완비성에 대한 연구

Title
거리공간의 완비성에 대한 연구
Authors
최지영
Keywords
거리공간의완비성에대한연구
Issue Date
2010
Publisher
인하대학교
Abstract
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.
Description
0. Introduction 2 1. Complete Metric Space 4 2. Compactness in Metric Spaces 12 3. Ascoli Theorem 16 References 26
URI
http://dspace.inha.ac.kr/handle/10505/4238
Appears in Collections:
College of Education(사범대학) > Graduate School of Education (교육대학원) > Theses(교육대학원 석박사 학위논문)
Files in This Item:
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