COUNTABILITY AND APPROACH THEORY

• 발행기관: 충청수학회
• 저자명: Hyei Kyung Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 4, 581~590쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.11.30

영문 초록

In approach theory, we can provide arbitrary products of 1p¡metric spaces with a natural structure, whereas, classically only if we rely on a countable product and the question arises, then, whether properties which are derived from countability properties in metric spaces, such as sequential and countable compactness, can also do away with countability. The classical results which simplify the study of compactness in pseudometric spaces, which proves that all three of the main kinds of compactness are identical, suggest a further study of the category pMET1.

목차

1. Introduction

2. Preliminaries

3. Countable and sequential compactness

4. Case pMET1