Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable-Reference-Cited by-同舟云学术

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Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable

Published:2000-11-15 Issue:4 Volume:129 Page:1179-1188
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Qiao Yuan-Qing

Abstract

In this paper we prove that in various models of Martin’s Axiom there are perfectly normal, non-metrizable non-archimedean spaces of ℵ 2 \aleph _2 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-04/S0002-9939-00-04940-6/S0002-9939-00-04940-6.pdf

Reference14 articles.

1. Iterated forcing;Baumgartner, James E.,1983

2. Perspectives in Mathematical Logic;Devlin, Keith J.,1984

3. Sigma Series in Pure Mathematics;Engelking, Ryszard,1989

4. Studies in Logic and the Foundations of Mathematics;Kunen, Kenneth,1980

5. A survey of zero-dimensional spaces;Nyikos, Peter,1976

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1. On a question of Maarten Maurice;Topology and its Applications;2006-05

2. Open problems in topology;Topology and its Applications;2004-01

3. Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines;Proceedings of the American Mathematical Society;2003-07-16

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