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http://dx.doi.org/10.14403/jcms.2010.23.3.589

REGULARLY QUASI-ORDERED SPACES AND NORMALLY QUASI-ORDERED SPACES  

Shin, Seon Ho (Department of Mathematics Soongsil University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 589-598 More about this Journal
Abstract
Generalizing normally quasi-ordered spaces, we introduce a concept of regularly quasi-ordered spaces and study their categorical properties. We obtain well behaved reflective subcategories of the category Rqos of regularly quasi-ordered spaces and continuous isotones, namely the full subcategory of Rqos determined by $T_0$-objects among others, and this result can be extended to that in the category Nqos of normally quasi-ordered spaces and continuous isotones.
Keywords
regular quasi-order; normal quasi-order; reflective subcategory;
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