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

Mathematica Slovaca (1989)

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

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topHejduk, 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

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

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