Topological and algebraical aspects of some sets of measurable functions. (English) Zbl 0508.54008
General topology and its relations to modern analysis and algebra V, Proc. 5th Prague Topol. Symp. 1981, Sigma Ser. Pure Math. 3, 706-712 (1983).
MSC:
54C35 | Function spaces in general topology |
28C05 | Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures |
46B42 | Banach lattices |
46F15 | Hyperfunctions, analytic functionals |
28A20 | Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence |
28C15 | Set functions and measures on topological spaces (regularity of measures, etc.) |
54C30 | Real-valued functions in general topology |
16W60 | Valuations, completions, formal power series and related constructions (associative rings and algebras) |
06B23 | Complete lattices, completions |
54G05 | Extremally disconnected spaces, \(F\)-spaces, etc. |