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| SOME CONSISTENT RESULTS ON LINDELOFNESS AND CALIBRE |
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Citation： |
Dai Mumin.SOME CONSISTENT RESULTS ON LINDELOFNESS AND CALIBRE[J].Chinese Annals of Mathematics B,1989,10(4):458~461 |
| Page view： 987
Net amount： 977 |
Authors： |
Dai Mumin; |
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| Abstract： |
This paper gives some topological propositions which are equivalent to the continuum hypothesis. The following results are also given: In the class of 1-st countable
Hansdoff spacess the existence of space which has calibre $\[({\omega _1},\omega )\]$ but no calibre $\[{\omega _1}\]$ is equivalent to the existence of space which has calibre $\[({\omega _1},\omega )\]$ but is not point-countablely
Lindelog, the existence of space which has calibre $\[{\omega _2}\]$ but is not separable is equivalent to
the existence of space which has calibre $\[{\omega _1}\]$ but is not Lindelof, too. |
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