REGULARLY QUASI-ORDERED SPACES AND NORMALLY QUASI-ORDERED SPACES

• 발행기관: 충청수학회
• 저자명: Seon Ho Shin
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 3, 589~598쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.09.30

영문 초록

Generalizing normally quasi-ordered spaces, we intro-duce a concept of regularly quasi-ordered spaces and study their categorical properties. We obtain well behaved re ective subcate-gories of the category Rqos of regularly quasi-ordered spaces and continuous isotones, namely the full subcategory of Rqos deter-mined by T0-objects among others, and this result can be extended to that in the category Nqos of normally quasi-ordered spaces and continuous isotones.

목차

1. Introduction and main results

2. Regularly quasi-ordered spaces

3. Normally quasi-ordered spaces

4. Reflective subcategories between Rqos(Nqos; resp:) and Rpos(Npos; resp:)

References