ON SEPARATEDNESS OF ZERO-DIMENSIONAL SPACES

• 발행기관: 충청수학회
• 저자명: Namjip Koo Hyunhee Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 4, 243~249쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.11.30

국문 초록

In this paper, we give some characterizations of zero- dimensional spaces via some classes of continuous real-valued func- tions. Thus we show that a topological space X is zero-dimensional if and only if it satisfies the Urysohn lemma (or a partition of unity) without being surjective. We also give some examples related to our results.

목차

1. Introduction

2. Main results

References

키워드

zero-dimension scatteredness partition of unity Urysohn lemma