Journal of Convex Analysis 33 (2026), No. 3&4, 865--874
Copyright Heldermann Verlag 2026
A General Scheme for Separably Reducible Properties
Marián Fabian
Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic
fabian@math.cas.cz
Alexander D. Ioffe
Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel
alexander.ioffe38@gmail.com
Julian P. Revalski
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
revalski@math.bas.bg
We propose a general scheme for studying separably reducible properties in metric spaces and then apply it to obtain separable determinacy of Lipschitz property and the separable determinacy of slopes.
Keywords: Separable reduction, cofinal family, rich family, Lipschitz property, slopes.
MSC: 46B26, 49J52; 26E15.
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