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- W4328130688 abstract "In this paper, as a common generalization of $SI_{2}$-continuous spaces and $s_{2}$-quasicontinuous posets, we introduce the concepts of $SI_{2}$-quasicontinuous spaces and $mathcal{GD}$-convergence of nets for arbitrary topological spaces by the cuts. Some characterizations of $SI_{2}$-quasicontinuity of spaces are given. The main results are: (1) a space is $SI_{2}$-quasicontinuous if and only if its weakly irreducible topology is hypercontinuous under inclusion order; (2) A $T_{0}$ space $X$ is $SI_{2}$-quasicontinuous if and only if the $mathcal{GD}$-convergence in $X$ is topological." @default.
- W4328130688 created "2023-03-22" @default.
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- W4328130688 date "2023-03-21" @default.
- W4328130688 modified "2023-10-07" @default.
- W4328130688 title "$SI_2$-quasicontinuous spaces" @default.
- W4328130688 doi "https://doi.org/10.46298/entics.10355" @default.
- W4328130688 hasPublicationYear "2023" @default.
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