HEREDITARILY NORMAL MANIFOLDS OF DIMENSION GREATER THAN ONE MAY ALL BE METRIZABLE

被引：3

作者：

Dow, Alan ^{[1
]}

Tall, Franklin D. ^{[2
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hereditarily normal; manifold; metrizable; coherent Souslin tree; proper forcing; PFA(S)[S; locally compact; P-ideal; perfect preimage of omega(1); sequentially compact; SPACES;

D O I：

10.1090/tran/7916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：6805 / 6851

页数：47

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