Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals
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- by Chris Good and Robin W. Knight PDF
- Proc. Amer. Math. Soc. 134 (2006), 591-597 Request permission
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.References
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Additional Information
- Chris Good
- Affiliation: School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, United Kingdom
- MR Author ID: 336197
- ORCID: 0000-0001-8646-1462
- 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
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 591-597
- MSC (2000): Primary 54C10, 54D15, 54D20, 54E20, 54E30
- DOI: https://doi.org/10.1090/S0002-9939-05-07965-7
- MathSciNet review: 2176028