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- W2793427838 abstract "In this paper, it is proved that a first-countable paratopological group has a regular $G_{delta}$-diagonal, which gives an affirmative answer to Arhangel'skii and Burke's question [{it Spaces with a regular $G_{delta}$-diagonal/}, Topology Appl. {bf 153} (2006), 1917--1929]. If $G$ is a symmetrizable paratopological group, then $G$ is a developable space. We also discuss copies of $S_omega$ and of $S_2$ in paratopological groups and generalize some Nyikos [{it Metrizability and the Frechet-Urysohn property in topological groups/}, Proc. Amer. Math. Soc. {bf 83} (1981), no. 4, 793--801] and Svetlichnyi [{it Intersection of topologies and metrizability in topological groups/}, Vestnik Moskov. Univ. Ser. I Mat. Mekh. {bf 4} (1989), 79--81] results." @default.
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- W2793427838 date "2006-01-01" @default.
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- W2793427838 title "A note on paratopological groups" @default.
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