Open AccessHereditarily normal manifolds of dimension greater than one may all be metrizable
Author(s) -
Alan Dow,
Franklin D. Tall
Publication year - 2019
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/tran/7916
Subject(s) - mathematics , metrization theorem , pure mathematics , manifold (fluid mechanics) , dimension (graph theory) , consistency (knowledge bases) , hausdorff space , hausdorff dimension , mathematical analysis , discrete mathematics , separable space , mechanical engineering , engineering
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.