More on uniform paracompactness in pointfree topology

Rok, strany: 2015, 273 - 288

We revisit uniformly paracompact uniform frames and show that, in analogy with their spatial counterparts, they have a characterisation in terms of a ``completeness property". Namely, they are precisely those in which every weakly Cauchy filter clusters. We also give another characterisation in terms of the Čech-Stone compactification of the underlying frame. By tweaking the definition of uniformly paracompact frames, we define uniformly para-Lindelöf frames (analogously to same-named uniform spaces) and characterise them in terms of the Lindelöf coreflection of the underlying frame. This latter characterisation has no spatial counterpart.

ISO 690:

Dube, T., Naidoo, I. 2015. More on uniform paracompactness in pointfree topology. In Mathematica Slovaca, vol. 65, no.2, pp. 273-288. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0022

APA:

Dube, T., Naidoo, I. (2015). More on uniform paracompactness in pointfree topology. Mathematica Slovaca, 65(2), 273-288. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0022