On quasi-uniform box products

Authors

  • Olivier Olela Otafudu North-West University
  • Hope Sabao North-West University

DOI:

https://doi.org/10.4995/agt.2017.5818

Keywords:

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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Author Biographies

Olivier Olela Otafudu, North-West University

School of Mathematical Sciences

Hope Sabao, North-West University

School of Mathematical Sciences

References

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Published

2017-04-03

How to Cite

[1]
O. Olela Otafudu and H. Sabao, “On quasi-uniform box products”, Appl. Gen. Topol., vol. 18, no. 1, pp. 61–74, Apr. 2017.

Issue

Section

Regular Articles