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Chain intersection closures. (arXiv:1810.05832v1 [math.LO])
来源于:arXiv
We study spherical completeness of ball spaces and its stability under
expansions. We introduce the notion of an ultra-diameter, mimicking diameters
in ultrametric spaces. We prove some positive results on preservation of
spherical completeness involving ultra-diameters with values in narrow
partially ordered sets. Finally, we show that in general, chain intersection
closures of ultrametric spaces with partially ordered value sets do not
preserve spherical completeness. 查看全文>>