On GSI2-convergence in T0-spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909029791432704 |
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| author | Wen, Xinpeng Bao, Meng Zhang, Wenfeng |
| author_facet | Wen, Xinpeng Bao, Meng Zhang, Wenfeng |
| contents | In this paper,we introduce the concept of GSI$_2$-convergence in $T_0$ spaces and the related concept of (strongly) QI$_2$-continuous spaces. It is proved that if GSI$_2$-convergence in $X$ is topological iff $X$ is strongly QI$_2$-continuous for any irreducible complete $T_0$ space $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08900 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On GSI2-convergence in T0-spaces Wen, Xinpeng Bao, Meng Zhang, Wenfeng General Topology In this paper,we introduce the concept of GSI$_2$-convergence in $T_0$ spaces and the related concept of (strongly) QI$_2$-continuous spaces. It is proved that if GSI$_2$-convergence in $X$ is topological iff $X$ is strongly QI$_2$-continuous for any irreducible complete $T_0$ space $X$. |
| title | On GSI2-convergence in T0-spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2605.08900 |