Small systems – on approximation of compact sets of measurable functions to compact subsets of C c - o ( X )

Eliza Wajch

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 4, page 619-633
  • ISSN: 0011-4642

How to cite

top

Wajch, Eliza. "Small systems – on approximation of compact sets of measurable functions to compact subsets of $C_{c-o}(X)$." Czechoslovak Mathematical Journal 41.4 (1991): 619-633. <http://eudml.org/doc/13957>.

@article{Wajch1991,
author = {Wajch, Eliza},
journal = {Czechoslovak Mathematical Journal},
keywords = {small systems; compactness; set of measurable functions; convergence},
language = {eng},
number = {4},
pages = {619-633},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Small systems – on approximation of compact sets of measurable functions to compact subsets of $C_\{c-o\}(X)$},
url = {http://eudml.org/doc/13957},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Wajch, Eliza
TI - Small systems – on approximation of compact sets of measurable functions to compact subsets of $C_{c-o}(X)$
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 619
EP - 633
LA - eng
KW - small systems; compactness; set of measurable functions; convergence
UR - http://eudml.org/doc/13957
ER -

References

top
  1. D. K. Burke, Covering properties, in: Handbook of Set-Theoretic Topology (K. Kunen, J. E. Vaughan, eds.), North Holland-Amsterdam, 1984, 347-422. (1984) Zbl0569.54022MR0776628
  2. F. Cafiero, Misura e lntegrazione, Rome, 1959, 308-315. (1959) 
  3. P. Capek, On small systems, Acta Fac. Rerum Natur. Univ. Comenian Math. 34 (1979), 93-101. (1979) Zbl0436.28003MR0568339
  4. G. Choquet, 10.5802/aif.87, Ann. Inst. Fourier 9 (1959), 83-89. (1959) Zbl0093.29701MR0112844DOI10.5802/aif.87
  5. R. Engelking, General Topology, Warsaw, 1977. (1977) Zbl0373.54002MR0500780
  6. M. Fréchet, Sur les ensembles compacts de fonctions measurables, Fund. Math. 9 (1927), 25-32. (1927) 
  7. 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) Zbl0593.28016MR0776641
  8. L. Gillman, M.Jerison, Rings of Continuous Functions, New York-Heidelberg-Berlin, 1976. (1976) Zbl0339.46018MR0407579
  9. E. H. Hanson, 10.1090/S0002-9904-1933-05642-2, Bull. Amer. Math. Soc. 39 (1933), 397-400. (1933) Zbl0007.15303MR1562635DOI10.1090/S0002-9904-1933-05642-2
  10. J. Hejduk, E. Wajch, Compactness in the sense of the convergence with respect to a small system, Math. Slov. 39 (1989), 267-275. (1989) Zbl0681.28002MR1016344
  11. A. Horn, A. Tarski, 10.1090/S0002-9947-1948-0028922-8, Trans. Amer. Math. Soc. 64 (1948), 467-497. (1948) MR0028922DOI10.1090/S0002-9947-1948-0028922-8
  12. T. Jech, Set Theory, New York, 1978. (1978) Zbl0419.03028MR0506523
  13. R. A. Johnson J. Niewiarowski, T. Šwiątkowski, 10.1090/S0002-9939-1988-0938652-4, Proc. Amer. Math. Soc. 103 (1988), 105-112. (1988) MR0938652DOI10.1090/S0002-9939-1988-0938652-4
  14. J. L. Kelley, 10.2140/pjm.1959.9.1165, Pacific J. Math. 9 (1959), 1165-1177. (1959) Zbl0087.04801MR0108570DOI10.2140/pjm.1959.9.1165
  15. J. Kisyński, Sur les familles compactes de fonctions mesurables, Colloq. Math. 7 (1960), 221-235. (1960) MR0124459
  16. D. Maharam, 10.2307/1969222, Annals of Math. 48 (1947), 154-167. (1947) Zbl0029.20401MR0018718DOI10.2307/1969222
  17. T. Neubrunn, B. Riečan, Miera a Integrál, Bratislava, 1981, 485 - 497. (1981) MR0657765
  18. J. Niewiarowski, Convergence of sequences of real functions with respect to small systems, Math. Slov. 38 (1988), 333-340. (1988) Zbl0659.28004MR0978763
  19. K. Prikry, Changing measures into accessible cardinals, Dissert. Math. 68 (1970), 1-52. (1970) MR0262075
  20. K. Prikry, 10.2307/2269947, J. Symb. Logic 36 (1971), 395-406. (1971) MR0297963DOI10.2307/2269947
  21. B. Riečan, Abstract formulation of some theorems of measure theory, Mat. Fyz. Časopis SAV 16 (1966), 268-273. (1966) MR0222235
  22. C. A. Rogers, J. E. Jayne, K -analytic sets, in: Analytic Sets (C. A. Rogers, J. E. Jayne, eds.), London, 1980, 1-181. (1980) 
  23. D. A. Vladimirov, On the existence of invariant measures on Boolean algebras, Dokl. Akad. Nauk SSSR 157 (1964), 764-766. (1964) MR0169985
  24. D. A. Vladimirov, Invariant measures on Boolean algebras, Mat. Sb. (N.S.) 67 (109) (1965), 440-460. (1965) MR0206206
  25. E. Wajch, On small systems and compact families of Borel functions, Math. Slov. 40 (1990), 63-69. (1990) Zbl0739.28002MR1094973

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.