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Compactifications of partial frames via strongly regular ideals

In: Mathematica Slovaca, vol. 68, no. 2
John Frith - Anneliese Schauerte
Detaily:
Rok, strany: 2018, 285 - 298
Kľúčové slová:
frame, partial frame, $\sels$-frame, $\kappa$-frame, $\sigma$-frame, updirected, strongly regular ideal, compactification, strong inclusion, Samuel compactification
O článku:
Partial frames provide a fertile context in which to do pointfree structured and unstructured topology, using a small collection of axioms of an elementary nature. Amongst other things they can be used to investigate similarities and differences between frames, $σ$-frames and $κ$-frames. In this paper, the theory of strong inclusions for partial frames is used to describe compactifications of completely regular partial frames; the elements of these compactifications are given explicitly as strongly regular ideals. This is independent of and encompasses the theory of compactifications for frames. As an application, we revisit the Samuel compactification of a uniform partial frame.
Ako citovať:
ISO 690:
Frith, J., Schauerte, A. 2018. Compactifications of partial frames via strongly regular ideals. In Mathematica Slovaca, vol. 68, no.2, pp. 285-298. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0100

APA:
Frith, J., Schauerte, A. (2018). Compactifications of partial frames via strongly regular ideals. Mathematica Slovaca, 68(2), 285-298. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0100
O vydaní: