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Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals
Author(s):
Chris
Good;
Robin
W.
Knight
Journal:
Proc. Amer. Math. Soc.
134
(2006),
591-597.
MSC (2000):
Primary 54C10, 54D15, 54D20, 54E20, 54E30
Posted:
June 14, 2005
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Additional information
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:
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
Posted:
June 14, 2005
Communicated by:
Alan Dow
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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