Chris Good, Robin Knight
Abstract
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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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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.
Key concepts: Paracompact space, Hausdorff space, Mathematics, Urysohn and completely Hausdorff spaces, Monotonic function, Normal space, Pure mathematics, Hausdorff distance