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- W4367694328 abstract "M. Escard'o et al. asked whether the core compactly generated topology of a sober space is again sober and the sobrification of a core compactly generated space again core compactly generated. In this note, we answer the problem by displaying a counterexample, which reveals that the core compactly generated spaces are not closed under sobrifications. Meantime, we obtain that the core compactly generated spaces are closed under {omega}-well-filterifications and D-completions. Furthermore, we find that the core compactly generated topology of the Smyth power space of a well-filtered space coincides with the Scott topology. Finally, we provide a characterization for the core-compactness of core compactly generated spaces." @default.
- W4367694328 created "2023-05-03" @default.
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- W4367694328 date "2023-04-29" @default.
- W4367694328 modified "2023-09-27" @default.
- W4367694328 title "The core compactly generated topology" @default.
- W4367694328 doi "https://doi.org/10.48550/arxiv.2305.00372" @default.
- W4367694328 hasPublicationYear "2023" @default.
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