A General Scheme for Separably Reducible Properties

Marián Fabian; Alexander D. Ioffe; Julian P. Revalski

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Separable reduction
cofinal family
rich family
Lipschitz property
slopes

Mathematics Subject Classification

46B26, 49J52; 26E15

Suggested citation

M. Fabian, A. D. Ioffe, J. P. Revalski. “A General Scheme for Separably Reducible Properties.” Journal of Convex Analysis 33 (2026), No. 3&4, 865–874.