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arxiv: 1607.04756 · v1 · pith:YWIIIAELnew · submitted 2016-07-16 · 🧮 math.GN

Hereditarily normal manifolds of dimension > 1 may all be metrizable

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keywords hereditarilydimensionmanifoldmetrizablenormalableadditionasked
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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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