| Title:
|
Rationals with exotic convergences (English) |
| Author:
|
Frič, Roman |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
141-147 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54A20 |
| MSC:
|
54H13 |
| idZBL:
|
Zbl 0678.54001 |
| idMR:
|
MR1018255 |
| . |
| Date available:
|
2009-09-25T10:16:29Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130382 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/136516 |
| . |
| Reference:
|
[1] ANTOSIK P.: On K, M and KM-sequences and uniform convergence.Convergence Structures 1984 (Proc. Conf. on Convergence, Bechynӗ 1984). Akademie-Verlag, Berlin 1985, 25-31. MR 0835467 |
| Reference:
|
[2] BEATTIE R., BUTZМANN H.-P.: Sequentially determined convergence spaces.Czechoslovak Math. J. 37, 1987, 231-247. MR 0882596 |
| Reference:
|
[3] BEATTIE R., BUTZMANN H. P., HERRLICH H.: Filter convergence via sequential convergence.Comment. Math. Univ. Carolinae 27, 1986, 69-81. Zbl 0591.54003, MR 0843421 |
| Reference:
|
[4] CONTESSA M., ZANOLIN F.: On some remarks about a not completable convergence ring.General Topology and its Relations to Modern Analysis and Algebra V (Proc. Fifth Prague Topological Sympos., Prague 1981). Heldermann Verlag, Berlin 1982, 98-103. MR 0698397 |
| Reference:
|
[5] DIKRANJAN D.: Non-completeness measure of convergence Abelian groups.General Topology and its Relations to Modern Analysis and Algebra VI (Proc. Sixth Prague Topological Sympos., Prague 1986). Heldermann Verlag, Berlin 1988, 125-134. MR 0952600 |
| Reference:
|
[6] 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:
|
[7] DUDLEY R. M.: On sequential convergence.Trans. Amer. Math. Soc. 112, 1964, 483-507. (Corrections to "On sequential convergence", Trans. Amer. Math. Soc. 148, 1970, 623-624.) Zbl 0138.17401, MR 0257959 |
| Reference:
|
[8] FRIČ R., ZANOLIN F.: Coarse convergence groups.Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag, Berlin 1985, 107-114. MR 0835476 |
| Reference:
|
[9] GÄHLER W.: Grundstrukturen der Analysis.Vol. I, Berlin-Basel 1977, Vol. II, Berlin-Basel 1979. Zbl 0351.54001 |
| Reference:
|
[10] HEJCMAN J.: Topological vector group topologies for the real line.General Topology and its Relations to Modern Analysis and Algebra VI (Proc. Sixth Prague Topological Sympos., Prague 1986). Heldermann Verlag, Berlin 1988, 241-248. MR 0952610 |
| Reference:
|
[11] JAKUBÍK J.: On convergence in linear spaces.(Slovak. Russian summary.) Mat.-Fyz. Časopis Slovensk. Akad. Vied 6, 1956, 57-67. MR 0084718 |
| Reference:
|
[12] KOUTNÍK V.: Completeness of sequential convergence groups.Studia Math. 77, 1983, 455-464. MR 0751766 |
| Reference:
|
[13] LJUSTERNIK L. A., SOBOLEV V. I.: Elements of functional analysis.(Russian.) Moscow 1951. |
| Reference:
|
[14] MAZUR S., ORLICZ W.: Sur les espaces métriques linéaires.Studia Math. 10, 1948, 184-208. Zbl 0036.07801, MR 0029472 |
| Reference:
|
[15] NOVÁK J.: On convergence groups.Czechoslovak Math. J. 20, 1970, 357-374. Zbl 0217.08504, MR 0263973 |
| Reference:
|
[16] PAP E.: Functional analysis.(Serbo-Croatian.) Novi Sad, 1983. Zbl 0504.46009, MR 0683763 |
| Reference:
|
[17] RAĬKOV D. A.: O B-polnyh topologičeskih vektornyh gruppah.Studia Math. 31, 1968, 295-306. |
| Reference:
|
[18] ZANOLIN F.: Example of a convergence group which is not separated.Czechoslovak Math. J. 34, 1984, 169-171. MR 0743481 |
| . |
