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Published in 2017 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2017.27
Abstract: We use concepts of continuous higher randomness, developed in Bienvenu et al. [‘Continuous higher randomness’, J. Math. Log. 17(1) (2017).], to investigate $\unicode[STIX]{x1D6F1}_{1}^{1}$ -randomness. We discuss lowness for $\unicode[STIX]{x1D6F1}_{1}^{1}$ -randomness, cupping with $\unicode[STIX]{x1D6F1}_{1}^{1}$ -random sequences,…
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Keywords:
stix x1d6f1;
higher randomness;
randomness;
randomness genericity ... See more keywords
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Published in 2020 at "Bulletin of The Australian Mathematical Society"
DOI: 10.1017/s0004972720000192
Abstract: To study when a paratopological group becomes a topological group, Arhangel’skii et al. [‘Topological games and topologies on groups’, Math. Maced. 8 (2010), 1–19] introduced the class of $(\,\unicode[STIX]{x1D6FD},G_{\unicode[STIX]{x1D6F1}})$-unfavourable spaces. We show that every $\unicode[STIX]{x1D707}$-complete (or normal)…
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Keywords:
stix x1d6f1;
stix;
unicode stix;
stix x1d6fd ... See more keywords