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Title: Strict completions of $\cal L_0^*$-groups (English)
Author: Frič, R.
Author: Zanolin, F.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 42
Issue: 4
Year: 1992
Pages: 589-598
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Category: math
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MSC: 22A99
MSC: 54A20
MSC: 54D35
MSC: 54H11
idZBL: Zbl 0797.54007
idMR: MR1182190
DOI: 10.21136/CMJ.1992.128373
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Date available: 2009-09-24T09:24:25Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128373
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Reference: [1] Frič, R.: Rationals with exotic convergences II.Math. Slovaca 40 (1990), 389–400. MR 1120969
Reference: [2] Frič, R. and Koutník V.: Completions of convergence groups.in: General Topology and its Relations to Modern Analysis and Algebra VI (Proc. Sixth Prague Topological Sympos., 1986), Helderman Verlag, Berlin, 1988, pp. 187–201. MR 0952605
Reference: [3] Frič, R. and Koutník, V.: Completions for subcategories of convergence rings.in: Categorical Topology and its Relations to Ananlysis, Algebra and Combinatorics (Praha 1988), World Scientific Publishing Co., Singapore, 1989, pp. 195–207. MR 1047901
Reference: [4] Frič, R. and Zanolin, F.: A convergence group having no completion.in: Convergence Structures and Appications II, Abh. Adak, Wiss. DDR, Abt. Math.-Naturwiss.-Technik, 1984, Nr. 2N, Akademie-Verlag, Berlin, 1984, pp. 47–48. MR 0790151
Reference: [5] Frič, R. and Zanolin, F.: Sequential convergence in free groups.Rend. Ist. Matem. Univ. Trieste 18 (1986), 200–218. MR 0928331
Reference: [6] Frič, R. and Zanolin, F.: Relatively coarse convergence groups.(to appear). MR 0835476
Reference: [7] Kent, D. C. and Richardson, G. D.: Regular completions of Cauchy spaces.Pacific J. Math. 51 (1974), 483–490. MR 0390989, 10.2140/pjm.1974.51.483
Reference: [8] Koutník, V.: Completeness of sequential convergence groups.Studia Math. 77 (1984), 455–464. MR 0751766, 10.4064/sm-77-5-455-464
Reference: [9] Koutník, V.: On completion of abelian $L_0^*$-groups.in: Generalized Functions and Convergence (Katowice 1988), World Scientific Publishing Co., Singapore, 1990, pp. 335–341. MR 1085521
Reference: [10] Koutník, V. and Novák, J.: Completion of a class of convergence rings.(to appear).
Reference: [11] Novák, J.: On convergence groups.Czechoslovak Math. J. 20 (1970), 357–384. MR 0263973
Reference: [12] 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
Reference: [13] Novák, J.: Convergences $L_S^H$ on the group of real numbers.(Seminar notes).
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