| Title:
|
Cardinality of the system of all sequential convergences on an Abelian lattice ordered group (English) |
| Author:
|
Harminc, Matúš |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
533-546 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0645.06006 |
| idMR:
|
MR913986 |
| DOI:
|
10.21136/CMJ.1987.102181 |
| . |
| Date available:
|
2008-06-09T15:17:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102181 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Third ed., Amer. Math. Soc, Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] P. Conrad: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
| Reference:
|
[3] E. Čech В. Pospíšil: Sur les caractères des points dans les espaces S.Publ. Fac. Sci. Univ. Masaryk, No. 258, (1938). |
| Reference:
|
[4] C. J. Everett S. Ulam: On ordered groups.Trans. Amer. Math. Soc, 57 (1945), 208-216. MR 0012285, 10.1090/S0002-9947-1945-0012285-5 |
| Reference:
|
[5] L. Fuchs: Partially ordered algebraic systems.Pergamon Press, Oxford 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[6] M. Harminc: Sequential convergences on abelian lattice-ordered groups.Convergence Structures 1984 (Proc on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 153-158. MR 0835480 |
| Reference:
|
[7] F. Hausdorff: Grundzüge der Mengenlehre.Veit & Co., Leipzig 1914. MR 0031025 |
| Reference:
|
[8] T. Jech: Set Theory.Academic Press, New York 1978. Zbl 0419.03028, MR 0506523 |
| Reference:
|
[9] P. Mikusiňski: Problems posed at the conference.Proc Conference on Convergence, Szczyrk 1979, Katowice 1980, 110-112. MR 0639325 |
| Reference:
|
[10] J. Novák: On convergence groups.Czechoslovak Math. J., 20 (1970), 357-374. MR 0263973 |
| Reference:
|
[11] B. Šmarda: Topologies in l-groups.Archivum Math. (Brno), T. 3 (1967), 69-81. MR 0223283 |
| Reference:
|
[12] B. Šmarda: Some types of topological 1-groups.Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 507 (1969), 341-352. MR 0272940 |
| . |
