On quasi-uniform box products
DOI:
https://doi.org/10.4995/agt.2017.5818Keywords:
uniform box product, quasi-uniform box product, quasi-uniformity, D-completeness.Abstract
We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept of a quasi-uniformity on a product of countably many copies of a quasi-uniform space, where the symmetrised uniformity of our quasiuniformity coincides with the constant uniformity. We use the concept of Cauchy filter pairs on a quasi-uniform space to discuss the completeness of its quasi-uniform box product.
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