Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals |
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| Authors: | Chris Good Robin W Knight |
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| Institution: | School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, United Kingdom ; Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom |
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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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| Keywords: | Monotone countable paracompactness MCP collectionwise Hausdorff measurable cardinals |
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