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Hereditarily normal manifolds of dimension > 1 may all be metrizable

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 Added by Franklin Tall
 Publication date 2016
  fields
and research's language is English




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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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