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On an extension of finite functionals by the transfinite induction. (English) Zbl 0349.28004

MSC:
28A10 Real- or complex-valued set functions
46A40 Ordered topological linear spaces, vector lattices
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References:
[1] FOX G.: Note on the Borel method of Measure extension. Canad. Math. Bull., 5, 1962, 285-296. · Zbl 0108.04903
[2] KELLEY J. L.: General topology. New York 1957. · Zbl 0157.53002
[3] РИЕЧАН Б.: О непрерывном продолжении монотонных функционалов некоторово типа. Mat.-fyz. Čas., 15, 1965, 116-125. · Zbl 1099.01519
[4] HALMOS P. R.: Measure theory. 12. Toronto 1968.
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