Small systems -- on approximation of compact sets of measurable functions to compact subsets of $C_{c-o}(X)$
Wajch, Eliza
Czechoslovak Mathematical Journal, Tome 41 (1991), p. 619-633 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1991-01-01
Classification:  28A20,  54C50 
@article{102494,
     author = {Eliza Wajch},
     title = {Small systems -- on approximation of compact sets of measurable functions to compact subsets of $C\_{c-o}(X)$},
     journal = {Czechoslovak Mathematical Journal},
     volume = {41},
     year = {1991},
     pages = {619-633},
     zbl = {0760.28003},
     mrnumber = {1134952},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102494}
}

Wajch, Eliza. Small systems -- on approximation of compact sets of measurable functions to compact subsets of $C_{c-o}(X)$. Czechoslovak Mathematical Journal, Tome 41 (1991) pp. 619-633. http://gdmltest.u-ga.fr/item/102494/

D. K. Burke Covering properties, in: Handbook of Set-Theoretic Topology (K. Kunen, J. E. Vaughan, eds.), North Holland-Amsterdam, 1984, 347-422. (1984) | MR 0776628 | Zbl 0569.54022

F. Cafiero Misura e lntegrazione, Rome, 1959, 308-315. (1959)

P. Capek On small systems, Acta Fac. Rerum Natur. Univ. Comenian Math. 34 (1979), 93-101. (1979) | MR 0568339 | Zbl 0436.28003

G. Choquet Forme abstraite du théorème de capacitabilité, Ann. Inst. Fourier 9 (1959), 83-89. (1959) | Article | MR 0112844 | Zbl 0093.29701

R. Engelking General Topology, Warsaw, 1977. (1977) | MR 0500780 | Zbl 0373.54002

M. Fréchet Sur les ensembles compacts de fonctions measurables, Fund. Math. 9 (1927), 25-32. (1927)

R. J. Gardner; W. F. Pfeffer Borel measures, in: Handbook of Set-Theoretic Topology (K. Kunen, J. E. Vaughan, eds.), North Holland-Amsterdam, 1984, 961-1043. (1984) | MR 0776641 | Zbl 0593.28016

L. Gillman; M.Jerison Rings of Continuous Functions, New York-Heidelberg-Berlin, 1976. (1976) | MR 0407579 | Zbl 0339.46018

E. H. Hanson A note on compactness, Bull. Amer. Math. Soc. 39 (1933), 397-400. (1933) | Article | MR 1562635 | Zbl 0007.15303

J. Hejduk; E. Wajch Compactness in the sense of the convergence with respect to a small system, Math. Slov. 39 (1989), 267-275. (1989) | MR 1016344 | Zbl 0681.28002

A. Horn; A. Tarski Measures in Boolean algebras, Trans. Amer. Math. Soc. 64 (1948), 467-497. (1948) | Article | MR 0028922

T. Jech Set Theory, New York, 1978. (1978) | MR 0506523 | Zbl 0419.03028

R. A. Johnson J. Niewiarowski; T. Šwiątkowski Small systems convergence and metrizability, Proc. Amer. Math. Soc. 103 (1988), 105-112. (1988) | Article | MR 0938652

J. L. Kelley Measures on Boolean algebras, Pacific J. Math. 9 (1959), 1165-1177. (1959) | Article | MR 0108570 | Zbl 0087.04801

J. Kisyński Sur les familles compactes de fonctions mesurables, Colloq. Math. 7 (1960), 221-235. (1960) | MR 0124459

D. Maharam An algebraic characterization of measure algebras, Annals of Math. 48 (1947), 154-167. (1947) | Article | MR 0018718 | Zbl 0029.20401

T. Neubrunn; B. Riečan Miera a Integrál, Bratislava, 1981, 485 - 497. (1981) | MR 0657765

J. Niewiarowski Convergence of sequences of real functions with respect to small systems, Math. Slov. 38 (1988), 333-340. (1988) | MR 0978763 | Zbl 0659.28004

K. Prikry Changing measures into accessible cardinals, Dissert. Math. 68 (1970), 1-52. (1970) | MR 0262075

K. Prikry On measures on complete Boolean algebras, J. Symb. Logic 36 (1971), 395-406. (1971) | Article | MR 0297963

B. Riečan Abstract formulation of some theorems of measure theory, Mat. Fyz. Časopis SAV 16 (1966), 268-273. (1966) | MR 0222235

C. A. Rogers; J. E. Jayne $K$-analytic sets, in: Analytic Sets (C. A. Rogers, J. E. Jayne, eds.), London, 1980, 1-181. (1980)

D. A. Vladimirov On the existence of invariant measures on Boolean algebras, Dokl. Akad. Nauk SSSR 157 (1964), 764-766. (1964) | MR 0169985

D. A. Vladimirov Invariant measures on Boolean algebras, Mat. Sb. (N.S.) 67 (109) (1965), 440-460. (1965) | MR 0206206

E. Wajch On small systems and compact families of Borel functions, Math. Slov. 40 (1990), 63-69. (1990) | MR 1094973 | Zbl 0739.28002