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On \((\Delta_2)\) condition in density-type topologies. (English) Zbl 1223.54004

Summary: We discuss properties of density-type topologies \({\mathcal T}_\psi\) connected with condition \((\Delta_2)\) similar to the condition considered in the theory of Orlicz spaces.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
11B05 Density, gaps, topology
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

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