On box products |
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| Authors: | Arnold W Miller |
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| Institution: | Department of Mathematics, University of Texas at Austin, Austin, TX 78712, USA |
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| Abstract: | We prove two theorems about box products. The first theorem says that the box product of countable spaces is pseudonormal, i.e. any two disjoint closed sets one of which is countable can be separated by open sets. The second theorem says that assuming CH a certain uncountable box product is normal (i.e. <ω1?□α<ω1Xα where each Xα is a compact metric space). |
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| Keywords: | 54B10 54D15 54D18 03E05 54D20 54D30 box-product continuum hypothesis normal paracompact psuedonormal |
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