국가지식-학술정보
Stably 가산 근사 Frames와 Strongly Lindelof Frames
- 한국수학사학회
- Journal for History of Mathematics
- Vol.16 No.1
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2003.0163 - 72 (10 pages)
- 0
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This paper is a sequel to [11]. We introduce $\sigma$-coherent frames, stably countably approximating frames and strongly Lindelof frames, and show that a stably countably approximating frame is a strongly Lindelof frame. We also show that a complete chain in a Lindelof frame if and only if it is a strongly Lindelof frame by using the concept of strong convergence of filters. Finally, using the concepts of super compact frames and filter compact frames, we introduce an example of a strongly Lindelof frame which is not a stably countably approximating frame.
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