On quasi-uniform box products

Olivier Olela Otafudu, Hope Sabao

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.


Keywords

uniform box product; quasi-uniform box product; quasi-uniformity; D-completeness.

Subject classification

54B10; 54E35; 54E15.

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References

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