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초록· 키워드
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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.
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참고문헌 (10)
참고문헌 신청
C. Ehresmann / 1957 / Gattungen von lokalen Strukturen / Jber. Deutsch. Math.-Verein. 60 : 59 ~ 77
J. Benabou / 1958 / Treillis locaux et paratopologies, Seminaire Ehresmann(Topologie et Geometrie Differentielle), 1re annee (1957-8) expose 2
J. Paseka / 1992 / T2-frames and almost compact frames / Czechoslovak Math. Journal 42 : 385 ~ 402
J.R. Isbell / 1972 / Atomless parts of locales / Math. Scand. 31 : 5 ~ 32
M.K. Khang / 2007 / Lindelofication of frames / Kangweon-Kyungki Math. Jo-ur. 15 (2) : 87 ~ 100
J. Benabou / 1958 / Treillis locaux et paratopologies, Seminaire Ehresmann(Topologie et Geometrie Differentielle), 1re annee (1957-8) expose 2
J. Paseka / 1992 / T2-frames and almost compact frames / Czechoslovak Math. Journal 42 : 385 ~ 402
J.R. Isbell / 1972 / Atomless parts of locales / Math. Scand. 31 : 5 ~ 32
M.K. Khang / 2007 / Lindelofication of frames / Kangweon-Kyungki Math. Jo-ur. 15 (2) : 87 ~ 100
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