| Title:
|
On convergence groups with dense coarse subgroups (English) |
| Author:
|
Dikranjan, Dikran |
| Author:
|
Frič, Roman |
| Author:
|
Zanolin, Fabio |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1987 |
| Pages:
|
471-479 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20K45 |
| MSC:
|
22A30 |
| MSC:
|
54A20 |
| idZBL:
|
Zbl 0637.22002 |
| idMR:
|
MR904771 |
| DOI:
|
10.21136/CMJ.1987.102171 |
| . |
| Date available:
|
2008-06-09T15:16:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102171 |
| . |
| Reference:
|
[1] D. Dikranjan: Sur la minimalité dies produits de groupes topologiques abéliens.C.R. Acad. Sc. Paris t. 299, Série I, No. 8 (1984), 303-306. MR 0761252 |
| Reference:
|
[2] R. Frič, F. Zanolin: Remarks on sequential convergence in free groups.Colloq. Math. Soc. János Bollyai, 41. Topology and Applications, Eger (Hungary), 1983, North-Holland, Amsterdam, 1985, 283-291. MR 0863910 |
| Reference:
|
[3] R. Frič, F. Zanolin: Coarse convergence groups.Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 107-114. MR 0835476 |
| Reference:
|
[4] R. Frič, P. Vojtáš: Diagonal conditions in sequential convergence.Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 77-94. MR 0835474 |
| Reference:
|
[5] L. Fuchs: Infinite abelian groups I, II.Academic Press, New York 1970, 1973. |
| Reference:
|
[6] J. Jakubík: On convergence in linear spaces.(Slovak. Russian summary.) Mat.-Fyz. Časopis Sloven. Akad. Vied 6 (1956), 57-67. MR 0084718 |
| Reference:
|
[7] V. Koutník: Completeness of sequential convergence groups.Studia Math. 77 (1983), 455-464. MR 0751766, 10.4064/sm-77-5-455-464 |
| Reference:
|
[8] J. Novák: On some problems concerning the convergence spaces and groups.General Topology and its Relations to Modern Analysis and Algebra (Proc. Kanpur Topological Conf., 1968), Academia, Praha 1970, 219-229. MR 0278253 |
| Reference:
|
[9] J. Novák: On convergence groups.Czechoslovak Math. J. 20 (1970), 357-374. MR 0263973 |
| Reference:
|
[10] J. Novák: On completions of convergence commutative groups. General Topology and its Relations to Modern Analysis and Algebra III.(Proc. Third Prague Topological Sympos., 1971), Academia, Praha 1972, 335-340. MR 0365451 |
| Reference:
|
[11] I. Prodanov: Precompact minimal group topologies and p-adic numbers.Annuaire Univ. Sofia Fac. Math. 66 (1971/1972), 249-266. MR 0412323 |
| Reference:
|
[12] R. Stephenson: Minimal topological groups.Math. Ann. 142 (1971), 193-195. Zbl 0206.31601, MR 0286934, 10.1007/BF02052870 |
| Reference:
|
[13] F. Zanolin: Solution of a problem of Josef Novák about convergence groups.Boll. Un. Mat. Ital., (5) 14-A (1977), 375-381. Zbl 0352.54017, MR 0451220 |
| Reference:
|
[14] F. Zanolin: Example of a convergence commutative group which is not separated.Czechoslovak Math. J. 34 (1984), 169-171. Zbl 0546.54007, MR 0743481 |
| . |
