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arXiv · 1607.04756

Hereditarily normal manifolds of dimension > 1 may all be metrizable

Alan Dow·Franklin D. Tall
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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 manifold is hereditarily collectionwise Hausdorff. We are able to omit these extra assumptions.

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Alan Dow, Franklin D. Tall. 2016-07-16. Hereditarily normal manifolds of dimension > 1 may all be metrizable. https://arxiv.org/abs/1607.04756

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