학술저널
ON δ-FRAMES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 10, No. 1
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1997.0843 - 56 (14 pages)
- 0
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.
Abstract
1. Introduction
2. δ-Frames
3. Almost Lindelöf δ-frames and Lindelöf δ-frames
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