학술저널
REGULARLY QUASI-ORDERED SPACES AND NORMALLY QUASI-ORDERED SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 3
-
2010.09589 - 598 (10 pages)
- 2
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.
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:)
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