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Title: Compactness in the sense of the convergence with respect to a small system (English)
Author: Hejduk, Jacek
Author: Wajch, Eliza
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 39
Issue: 3
Year: 1989
Pages: 267-275
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Category: math
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MSC: 28A05
MSC: 28A20
idZBL: Zbl 0681.28002
idMR: MR1016344
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Date available: 2009-09-25T10:18:29Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129278
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Reference: [1] CAFIERO F.: Misura e Integrazione.Edizioni Cremonese Roma - 1959, 308-315 (in Italian). Zbl 0171.01503, MR 0215954
Reference: [2] CAPEK P.: On small systems.Acta F.R.N. Univ. Comen. Math. XXXIV, 1979, 93-101. Zbl 0436.28003, MR 0568339
Reference: [3] FRÉCHET M.: Sur les ensembles compacts de fonctions mesurables.Fund. Math. 9, 1927, 25-32.
Reference: [4] HANSON E. H.: A note on compactness.Bull. Amer. Math. Soc. 39, 1933, 397-400. Zbl 0007.15303, MR 1562635
Reference: [5] HEJDUK J., WAJCH E.: A characterization of compactness in the sense of convergence with respect to a σ-ideal.(to appear). MR 1126879
Reference: [6] NIEWIAROWSKI J.: Convergence of sequences of real functions with respect to small systems.Math, Slovaca 38, 1988, 333-340. Zbl 0659.28004, MR 0978763
Reference: [7] RIEČAN B.: Abstract formulation of some theorems of measure theory.Mat. Fyz. Časopis SAV 16, 1966, 268-273. Zbl 0174.34402, MR 0222235
Reference: [8] WAGNER E.: Sequences of measurable functions.Fund. Math. 112, 1981, 89-102. Zbl 0497.28006, MR 0619485
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