2016
DOI: 10.48550/arxiv.1607.04756
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Hereditarily normal manifolds of dimension > 1 may all be metrizable

Alan Dow,
Franklin D. Tall

Abstract: P. J. Nyikos has asked whether it is consistent that every hereditarily normal manifold of dimension > 1 is metrizable, and proved 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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