Geodesic
Remarks on cardinal inequalities in convergence spaces
Mathematica Bohemica, Tome 146 (2021) no. 2, pp. 215-227

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We extend the Noble and Ulmer theorem and the Juhász and Hajnal theorems in set-theoretic topology. We show that a statement analogous to that in the former theorem is valid for a family of almost topological convergences, whereas statements analogous to those in the latter theorems hold for a pretopologically Hausdorff convergence.
DOI : 10.21136/MB.2020.0090-19
Classification : 54A20, 54A25
Keywords: convergence space; cardinal function; inequality; set-theoretic topology 
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Yoshitomi, Kazushi. Remarks on cardinal inequalities in convergence spaces. Mathematica Bohemica, Tome 146 (2021) no. 2, pp. 215-227. doi: 10.21136/MB.2020.0090-19

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