| Title:
|
On convergence spaces and their sequential envelopes (English) |
| Author:
|
Novák, Josef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
15 |
| Issue:
|
1 |
| Year:
|
1965 |
| Pages:
|
74-100 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
54.22 |
| idZBL:
|
Zbl 0139.15906 |
| idMR:
|
MR0175083 |
| DOI:
|
10.21136/CMJ.1965.100655 |
| . |
| Date available:
|
2008-06-09T13:24:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100655 |
| . |
| Reference:
|
[1] P. Alexandroff, P. Ur, sohn: Une condition nécessaire et suffisante pour qu'une classe ($L$) soit une classe ($D$).C. R. Acad. Sci. Paris, 177 (1923), 1274. |
| Reference:
|
[2] E. Čech: Topologické prostory.Praha (1959). MR 0104205 |
| Reference:
|
[3] M. Fréchet: Sur quelques points du Calcul fonctionnel.Thèse, Paris 1906, et. Rend. Circ. Mat. Palermo 22 (1906). 10.1007/BF03018603 |
| Reference:
|
[4] M. Fréchet: Sur la notion de voisinage dans les ensembles abstraits.Bull. Sci. Math. 42 (1918), p. 138-156. |
| Reference:
|
[5] F. Hausdorff: Gestufte Räume.Fundam. Math. 25 (1935), p. 486-502. Zbl 0012.42103, 10.4064/fm-25-1-486-502 |
| Reference:
|
[6] С. Kuratowski: Topologie I.Warszawa (1948), p. 88. Zbl 0041.09603 |
| Reference:
|
[7] J. Novák: Sur les espaces ($L$) et sur les produits cartésiens ($L$).Publ. Fac. Sciences Univ. Masaryk, Brno, fasc. 273 (1939). Zbl 0022.17303 |
| Reference:
|
[8] J. Novák: Regulární prostor, na němž je každá spojitá funkce konstantní.Časopis pro pěst. mat. fys. 73 (1948), p. 58-68. MR 0028576 |
| Reference:
|
[9] J. Novák: Die Topologie der Mengensysteme.Atti del sesto congresso dell Unione matematica italiana Napoli 1959, Roma 1960, 460-462. |
| Reference:
|
[10] J. Novák: On the sequential envelope.General Topology, Proc. of the Symp. Prague 1961, Praha 1962, 292-294. MR 0175082 |
| Reference:
|
[11] J. Novák: On a topological relation between a $\sigma$-algebra $\bf{A}$ of sets and the system of all $\bf{A}$-measurable functions.Czech. Math. Journ. 14 (89) 1964, p. 267-270. MR 0165062 |
| Reference:
|
[12] J. Novák, N. Novotný: On the convergence in $\sigma$-algebras of point-sets.Czech. Math. Journ. 3 (78) 1953, p. 291-296. MR 0060572 |
| Reference:
|
[13] J. Novák, L. Mišík: О L-priestoroch spojitých funkcií.Matematicko-fyzikálný sborník 1 (1951), p. 1-17. |
| Reference:
|
[14] W. Sierpiński: Hypothèse du continu.Warszawa (1934), p. 145. |
| Reference:
|
[15] V. Trnková: Non F-topologie.Thesis. Praha (1961). |
| . |
