期刊
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 372, 期 10, 页码 6805-6851出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/tran/7916
关键词
Hereditarily normal; manifold; metrizable; coherent Souslin tree; proper forcing; PFA(S)[S]; locally compact; P-ideal; perfect preimage of omega(1); sequentially compact
类别
资金
- NSF [DMS-1501506]
- NSERC [A-7354]
P. J. Nyikos has asked whether it is consistent that every hereditarily normal manifold of dimension greater than one is metrizable, and he proved that it is if one assumes the consistency of a supercompact cardinal, and, in addition, that the manifolds are hereditarily collectionwise Hausdorff. We are able to omit these extra assumptions.
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