Almost Lindelof frames
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Generalizing Lindelof frames and almost compact frames, we introduce a concept of almost Lindelof frames. Using a concept of δ-filters on frames, we characterize almost Lindelof frames and then have their permanence properties. We also show that almost Lindelof regular D(□1) frames are exactly Lindelof frames. Finally we construct an almost Lindelofication of a frame L via the simple extension of L associated with the set of all δ-filters F on L with ∨{ x* | x ∈ F } = e.
Abstract
Generalizing Lindelof frames and almost compact frames, we introduce a concept of almost Lindelof frames. Using a concept of δ-filters on frames, we characterize almost Lindelof frames and then have their permanence properties. We also show that almost Lindelof regular D(□1) frames are exactly Lindelof frames. Finally we construct an almost Lindelofication of a frame L via the simple extension of L associated with the set of all δ-filters F on L with ∨{ x* | x ∈ F } = e.
참고문헌 (10)
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