Comparing weak versions of separability |
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Authors: | Dá niel T. Soukup,Lajos Soukup,Santi Spadaro |
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Affiliation: | 1. Department of Mathematics, University of Toronto, Toronto, ON, Canada;2. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary;3. Department of Mathematics and Statistics, Faculty of Science and Engineering, York University, Toronto, ON, Canada |
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Abstract: | Our aim is to investigate spaces with σ-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the differences between these classes while answering questions of Tkachuk [22], Hutchison [13] and the authors of [7]. |
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Keywords: | 54D65 54B10 54C35 |
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