On quasi-uniform box products | Zendy

Olivier Olela Otafudu | Zendy; Hope Sabao | Zendy

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On quasi-uniform box products

Author(s) -

Olivier Olela Otafudu,

Hope Sabao

Publication year - 2017

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2017.5818

Subject(s) - mathematics , compactification (mathematics) , cauchy sequence , product (mathematics) , completeness (order theory) , regular space , cauchy distribution , computation , pure mathematics , constant (computer programming) , space (punctuation) , discrete mathematics , topological space , mathematical analysis , geometry , algorithm , computer science , programming language , operating system

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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