The uniform box product problem is a weakening of the well known box product problem, which asks whether products of certain compact spaces are normal or even paracompact. Using uniformities, we define a new topology on products between the box and Tychonov products, called the uniform box product. This new product is an extension of the sup metric to powers of compact spaces. We investigate a certain non-metrizable compact space whose product in this new topology is normal, countably paracompact, and collectionwise Hausdorff.
|Commitee:||Menasco, William, Schanuel, Stephen|
|School:||State University of New York at Buffalo|
|School Location:||United States -- New York|
|Source:||DAI-B 72/04, Dissertation Abstracts International|
|Subjects:||Mathematics, Theoretical Mathematics|
|Keywords:||Box product problem, Box topology, Collectionwise hausdorff, Countably paracompact, Sup metric, Uniformity|
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