On H-sober spaces and H-sobrifications of \(T_0\) spaces

DOI10.1016/j.topol.2020.107548zbMath1494.54015arXiv2003.07737OpenAlexW3117029052MaRDI QIDQ2219292

Xiao-Quan Xu

Publication date: 19 January 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07737

zbMATH Keywords

Smyth power spaceH-sober spaceH-soberificationirreducible subset systemsuper H-sober space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Topological lattices (06B30)

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