Compactness in the sense of the convergence with respect to a small system

Jacek Hejduk; Eliza Wajch

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 3, page 267-275
  • ISSN: 0232-0525

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Hejduk, Jacek, and Wajch, Eliza. "Compactness in the sense of the convergence with respect to a small system." Mathematica Slovaca 39.3 (1989): 267-275. <http://eudml.org/doc/31768>.

@article{Hejduk1989,
author = {Hejduk, Jacek, Wajch, Eliza},
journal = {Mathematica Slovaca},
keywords = {convergence of a sequence of functions with respect to a small; system; convergence with respect to a measure; Fréchet’s theorem; compactness of families of measurable functions; convergence of a sequence of functions with respect to a small system},
language = {eng},
number = {3},
pages = {267-275},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Compactness in the sense of the convergence with respect to a small system},
url = {http://eudml.org/doc/31768},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Hejduk, Jacek
AU - Wajch, Eliza
TI - Compactness in the sense of the convergence with respect to a small system
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 3
SP - 267
EP - 275
LA - eng
KW - convergence of a sequence of functions with respect to a small; system; convergence with respect to a measure; Fréchet’s theorem; compactness of families of measurable functions; convergence of a sequence of functions with respect to a small system
UR - http://eudml.org/doc/31768
ER -

References

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  1. CAFIERO F., Misura e Integrazione, Edizioni Cremonese Roma - 1959, 308-315 (in Italian). (1959) Zbl0171.01503MR0215954
  2. CAPEK P., On small systems, Acta F.R.N. Univ. Comen. Math. XXXIV, 1979, 93-101. (1979) Zbl0436.28003MR0568339
  3. FRÉCHET M., Sur les ensembles compacts de fonctions mesurables, Fund. Math. 9, 1927, 25-32. (1927) 
  4. HANSON E. H., A note on compactness, Bull. Amer. Math. Soc. 39, 1933, 397-400. (1933) Zbl0007.15303MR1562635
  5. HEJDUK J., WAJCH E., A characterization of compactness in the sense of convergence with respect to a σ-ideal, (to appear). MR1126879
  6. NIEWIAROWSKI J., Convergence of sequences of real functions with respect to small systems, Math, Slovaca 38, 1988, 333-340. (1988) Zbl0659.28004MR0978763
  7. RIEČAN B., Abstract formulation of some theorems of measure theory, Mat. Fyz. Časopis SAV 16, 1966, 268-273. (1966) Zbl0174.34402MR0222235
  8. WAGNER E., Sequences of measurable functions, Fund. Math. 112, 1981, 89-102. (1981) Zbl0497.28006MR0619485

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