학술논문
ON δ-FRAMES
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- SEUNG ON LEE SEOK JONG LEE EUN AI CHOI
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 10, No. 1, 43~56쪽, 전체 14쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1997.08.30
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국문 초록
영문 초록
In this paper, we introduce a new class of δ-frames and study its properties. To do so, we introduce δ-filters, almost Lindelöf frames and Lindelöf frames. First, we show that a complete chain or a complete Boolean algebra is a δ-frame. Next, we show that a δ-frame L is almost Lindelöf iff for any δ-filter F in L, V{x* : x ∊ F} ≠ e. Last, we show that every regular Lindelöf δ-frame is normal and a Lindelöf δ-frame is preserved under a δ-isomorphism which is dense and codense.
목차
Abstract
1. Introduction
2. δ-Frames
3. Almost Lindelöf δ-frames and Lindelöf δ-frames
REFERENCES
키워드
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