σ-Porosity is separably determined

DOI10.1007/s10587-013-0015-3zbMath1274.54093arXiv1112.3813OpenAlexW2147739574MaRDI QIDQ4924861

Marek Cúth, Martin Rmoutil

Publication date: 10 June 2013

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3813

zbMATH Keywords

elementary submodelseparable reduction\(\sigma \)-porous set

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Baire category, Baire spaces (54E52) Model theory of denumerable and separable structures (03C15)

Related Items (4)

Fréchet differentiability via partial Fréchet differentiability ⋮ On separable determination of \(\sigma\)-\(\mathbf P\)-porous sets in Banach spaces ⋮ Rich families and elementary submodels ⋮ NEAREST POINTS AND DELTA CONVEX FUNCTIONS IN BANACH SPACES

Cites Work

• Set theory. An introduction to independence proofs. 2nd print
• On Fréchet subdifferentials
• On \(\sigma\)-porous sets in abstract spaces
• Banach spaces with projectional skeletons
• Separable reduction theorems by the method of elementary submodels
• Fréchet differentiability, strict differentiability and subdifferentiability
• Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
• Products of non-σ-lower porous sets
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