Filipczak, Małgorzata; Terepeta, Małgorzata On \((\Delta_2)\) condition in density-type topologies. (English) Zbl 1223.54004 Demonstr. Math. 44, No. 2, 423-432 (2011). 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. Cited in 1 Document 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.) Keywords:\(\psi\)-density topology; \(\Delta_2\)-condition; Orlicz space PDFBibTeX XMLCite \textit{M. Filipczak} and \textit{M. Terepeta}, Demonstr. Math. 44, No. 2, 423--432 (2011; Zbl 1223.54004) Full Text: DOI References: [1] M. Filipczak, σ-ideals, topologies and multiplication, Bull. Soc. des Sci., Lódź 52 (2002), 11-16.; · Zbl 1088.54505 [2] M. Filipczak, M. Terepeta, ψ-continuous functions, Rend. Circ. Mat. Palermo 58 (2009), 245-255.; · Zbl 1186.54004 [3] J. Lukes, J. Maly, L. Zajicek, Fine Topology Methods in Real Analysis and Potential Theory, Springer, 1189, 1986.; · Zbl 0607.31001 [4] M. M. Rao, Z. D. Ren, Theory of Orlicz Spaces, Marcel Dekker, Inc., 1991.; · Zbl 0724.46032 [5] M. Terepeta, E. Wagner-Bojakowska, ψ-density topology, Rend. Circ. Mat. Palermo 48 (2) (1999), 451-476.; · Zbl 0963.26003 [6] E. Wagner-Bojakowska, W. Wilczyński, Comparison of ψ-density topologies, Real Anal. Exchange 25 (2) (1999/2000), 661-672.; · Zbl 1016.26001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.