局部紧遗传正规空间的遗传仿紧性
On the hereditary paracompactness of locally compact, hereditarily normal spaces
摘要:
我们证明了如果存在超紧基数是相容的,那么每个局部紧的遗传正规空间(不包含Ω_1的完美原像)是遗传仿紧的也是相容的.
英文摘要:
We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space which does not include a perfect pre-image of omega_1 is hereditarily paracompact.
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