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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals


Authors: Chris Good and Robin W. Knight
Journal: Proc. Amer. Math. Soc. 134 (2006), 591-597
MSC (2000): Primary 54C10, 54D15, 54D20, 54E20, 54E30
Published electronically: June 14, 2005
MathSciNet review: 2176028
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Abstract: We show that, if an MCP (monotonically countably paracompact) space fails to be collectionwise Hausdorff, then there is a measurable cardinal and that, if there are two measurable cardinals, then there is an MCP space that fails to be collectionwise Hausdorff.


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Additional Information

Chris Good
Affiliation: School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, United Kingdom
Email: c.good@bham.ac.uk

Robin W. Knight
Affiliation: Mathematical Institute, University of Oxford, 24-29 St Giles’, Oxford OX1 3LB, United Kingdom
Email: knight@maths.ox.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07965-7
PII: S 0002-9939(05)07965-7
Keywords: Monotone countable paracompactness, MCP, collectionwise Hausdorff, measurable cardinals
Received by editor(s): July 30, 2003
Received by editor(s) in revised form: September 9, 2004
Published electronically: June 14, 2005
Communicated by: Alan Dow
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.