The first-countability of paratopological left-loops (Q2217229)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The first-countability of paratopological left-loops |
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The first-countability of paratopological left-loops (English)
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29 December 2020
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The author introduces paratopological left-loops, as natural generalizations of paratopological left Bol loops and proves that some known results for paratopological groups are still valid for paratopological left-loops. The main results are: (i) every weakly first-countable paratopological left-loop is first-countable; (ii) a sequential, \(csf\)-countable, regular paratopological left-loop is first-countable if and only if it contains no closed copy of \(S_{\omega}\).
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paratopogical left-loops
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paratopogical left Bol loops
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paratopological groups
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weakly first-countable spaces
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\textit{csf}-countable spaces
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