Frame quasi-uniformities by entourages. (English) Zbl 1005.54030

Banaschewski, B. (ed.) et al., Proceedings of the symposium on categorical topology, SoCaT 94, University of Cape Town, Rondebosch, South Africa, November 1994. Festschrift on the occasion of the 60th birthday of Guillaume Brümmer. Rondebosch: University of Cape Town, Department of Mathematics and Applied Mathematics. 161-175 (1999).
Author’s summary: “We present a theory of quasi-uniformities for frames in terms of entourages, that is, special elements of the binary coproduct of the frame by itself, and we prove that this theory is equivalent to J. L. Frith’s theory of covering quasi-uniformities [Structured frames, PhD Thesis, University of Cape Town, 1987]”.
For the entire collection see [Zbl 0974.00041].


54E15 Uniform structures and generalizations
06D22 Frames, locales
54E55 Bitopologies