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Abstract This paper is dedicated to Professor Jinjin Li on the occasion of his 60th anniversary. In this paper, a new cardinal function called the strong Hausdorff number in semitopological… Click to show full abstract
Abstract This paper is dedicated to Professor Jinjin Li on the occasion of his 60th anniversary. In this paper, a new cardinal function called the strong Hausdorff number in semitopological groups is introduced. We mainly show that every paratopological group with countable strong Hausdorff number is ω-admissible. Applying this result, we prove that every bounded set in a paratopological group with countable strong Hausdorff number is strongly bounded, which partially answers to a question posed by Sanchez and Tkachenko.
Keywords:
paratopological groups;
strong hausdorff;
countable strong;
hausdorff number
Journal Title: Topology and its Applications
Year Published: 2020
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Journal Title: Topology and its Applications
Year Published: 2020
Link to full text (if available)
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recommendations!