Hereditarily normal manifolds of dimension greater than one may all be metrizable-Reference-Cited by-同舟云学术

Hereditarily normal manifolds of dimension greater than one may all be metrizable

Published:2019-08-28 Issue:10 Volume:372 Page:6805-6851
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Dow Alan,Tall Franklin

Abstract

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.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2019-372-10/S0002-9947-2019-07916-3/tran7916_AM.pdf

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