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REGULARLY QUASI-ORDERED SPACES AND NORMALLY QUASI-ORDERED SPACES
- Authors
- 신선호
- Issue Date
- 2010
- Publisher
- 충청수학회
- Keywords
- regular quasi-order; normal quasi-order; reflective subcategory
- Citation
- 충청수학회지, v.23, no.3, pp.589 - 598
- Journal Title
- 충청수학회지
- Volume
- 23
- Number
- 3
- Start Page
- 589
- End Page
- 598
- ISSN
- 1226-3524
- 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 T0-objects among others, and this result can be extended to that in the category Nqos of normally quasi-ordered spaces and continuous isotones.
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