One-point compactifications and continuity for partial frames

Autor: John Frith, Anneliese Schauerte

Publikováno v: Categories and General Algebraic Structures with Applications, Vol 7, Iss Special Issue on the Occasion of Banaschewski's 90th Birthday (II), Pp 57-88 (2017)

Locally compact Hausdorff spaces and their one-point compactifications are much used in topology and analysis; in lattice and domain theory, the notion of continuity captures the idea of local compactness. Our work is located in the setting of pointf

Externí odkaz: https://doaj.org/article/73792f68ca83407d832b64d279bc4d69

A look at the structure of congruence frames by means of Heyting congruences

Autor: Anneliese Schauerte, John Frith

Publikováno v: Quaestiones Mathematicae; Vol. 45 No. 11 (2022); 1771-1793

This paper concerns the congruence frame in the setting of partial frames, which, in contrast to full frames, do not necessarily have all joins. Examples of these include bounded distributive lattices, o and k frames. A new class of congruences, call

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c4e322f20a57c93e3e630e96237b40b
https://doi.org/10.2989/16073606.2021.1972052

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The Stone–Čech compactification of a partial frame via ideals and cozero elements

Autor: Frith, John

Publikováno v: Quaestiones Mathematicae; Vol 39, No 1 (2016); 115-134

A partial frame is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. The designated subsets are specified by means of a so-called selection function, denoted by S; these partial

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=78975075580c::0a1a4c6f4c4fc5b7bf0096ed7dec560a
https://www.ajol.info/index.php/qm/article/view/141690

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