On quasi-uniform box products

Olivier Olela Otafudu, Hope Sabao


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.


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

Subject classification

54B10; 54E35; 54E15.

Full Text:



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1. Infinite games and quasi-uniform box products
Hope Sabao, Olivier Olela Otafudu
Applied General Topology  vol: 20  issue: 1  first page: 57  year: 2019  
doi: 10.4995/agt.2019.9679

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt