| Title:
|
On the sequential order (English) |
| Author:
|
Frič, Roman |
| Author:
|
Gerlits, János |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
505-512 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54A20 |
| MSC:
|
54H99 |
| idZBL:
|
Zbl 0776.54004 |
| idMR:
|
MR1195044 |
| . |
| Date available:
|
2009-09-25T10:42:56Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136564 |
| . |
| Reference:
|
[1] ARHANGEĽSKIĬ A. V., FRANKLIN S. P.: New ordinal invariants for topological spaces.Michigan Math. J. 15 (1968), 313-320. MR 0240767 |
| Reference:
|
[2] BEATTIE R., BUTZMANN H.-P.: Sequentially determined convergence spaces.Czechoslovak Math. J. 37 (1987), 231-247. Zbl 0652.54001, MR 0882596 |
| Reference:
|
[3] CONTESSA M., ZANOLIN F.: Example of a commutative convergence ring which has no completion.Boll. Un. Mat. Ital. A (5) 18 (1981), 467-472. Zbl 0466.54001, MR 0633683 |
| Reference:
|
[4] DIKRANJAN D.: Non-completeness measure of convergence Abelian groups.In: General Topology and its Relations to Modern Analysis and Algebra VI. (Proc. Sixth. Prague Topological Sympos., 1986), Heldermann Verlag, Berlin, 1988, pp. 125-134. MR 0952600 |
| Reference:
|
[5] DIKRANJAN D., FRIČ R., ZANOLIN F.: On convergence groups with dense coarse subgroups.Czechoslovak Math. J. 37 (1987), 471-479. Zbl 0637.22002, MR 0904771 |
| Reference:
|
[6] FRIČ R.: Rational with exotic convergences.Math. Slovaca 39 (1989), 141-147. MR 1018255 |
| Reference:
|
[7] FRIČ R., KENT D. C.: Completion of pseudo-topological groups.Math. Nachr. 99 (1980), 99-103. Zbl 0477.22001, MR 0637649 |
| Reference:
|
[8] FRIČ R., KOUTNÍK V.: Completions of convergence groups.In:General Topology and its Relations to Modern Analysis and Algebra VI. (Proc. Sixth. Prague Topological Sympos., 1986), Heldermann Verlag, Berlin, 1988, pp. 187-201. MR 0952605 |
| Reference:
|
[9] FRIČ R., ZANOLIN F.: A convergence group having no completion.In: Convergence Structures and Applications, II. (Proc. Schwerin Conference) Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik 2 1984, Akademie-Verlag, Berlin, 1984, pp. 47-48. MR 0790151 |
| Reference:
|
[10] FRIČ R., ZANOLIN F.: Coarse convergence groups.In: Convergence Structures 1884. (Proc. Conf. on Convergence, Bechyně 1984), Akademie-Verlag, Berlin, 1985, pp. 107-114. MR 0835476 |
| Reference:
|
[11] FRIČ R., ZANOLIN F.: Coarse sequential convergence in groups.etc., Czechoslovak Math. J. 40 (1990), 459-467. Zbl 0747.54002, MR 1065025 |
| Reference:
|
[12] GRECO G. H.: The sequential defect of the cross topology is ω1.Topology Appl. 19 (1985), 91-94. MR 0786084 |
| Reference:
|
[13] KANNAN V.: Ordinal invariants in topology.Mem. Amer. Math. Soc. 32 no. 245 (1981). Zbl 0473.54001, MR 0617500 |
| Reference:
|
[14] KNEIS G.: Eine allgemeine Theorie der Vervollstandigung und Čech-Stone-Kompaktifizierung.(Dr. Sc. Nat. Dissertation), Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, 1983. |
| Reference:
|
[15] KNEIS G.: Completion of sequential convergence groups.In: Proc. Conf. Topology and Measure IV, Greifswald 1984, Part 1. Wiss. Beitr. der Ernst-Moritz-Arnd Universität Greifswald, pp. 125-132. Zbl 0579.54004, MR 0824015 |
| Reference:
|
[16] KOUTNÍK V.: Completeness of sequential convergence groups.Studia Math. 77 (1984), 454-464. Zbl 0546.54006, MR 0751766 |
| Reference:
|
[17] KOUTNÍK V., NOVÁK J.: Completion of a class of convergence rings.(To appear). |
| Reference:
|
[18] NOVÁK J.: On convergence spaces and their sequential envelopes.Czechoslovak Math. J. 15 (1965), 74-100. MR 0175083 |
| Reference:
|
[19] NOVÁK J.: On completions of convergence commutative groups.In: General Topology and its Relations to Modern Analysis and Algebra III. (Proc. Third Prague Topological Sympos., 1971), Academia, Praha, 1972, pp. 335-340. MR 0365451 |
| . |
