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Title: Cauchy sequences in $\Cal L$-groups (English)
Author: Frič, Roman
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 1
Year: 1990
Pages: 25-30
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Category: math
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MSC: 22A10
MSC: 46A99
MSC: 54A20
MSC: 54H99
idZBL: Zbl 0721.54004
idMR: MR1032360
DOI: 10.21136/CMJ.1990.102356
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Date available: 2008-06-09T15:31:01Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102356
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Reference: [1] Beattie R., Butzmann H.-P.: Sequentially determined convergence spaces.Czechoslovak Math. J. 37 (1987), 231-247. Zbl 0652.54001, MR 0882596
Reference: [2] Beattie R., Butzmann H.-P., Herrlich H.: Filter convergence via sequential convergence.Comment. Math. Univ. Carolin. 27 (1986), 69 - 81. Zbl 0591.54003, MR 0843421
Reference: [3] Butzmann H.-P.: Sequentially determined convergence spaces.General Topology and its Relations to Modern Analysis and Algebra, VI (Proc. Sixth Prague Topological Sympos., 1986), Heldermann Verlag, Berlin 1988, 61-68. MR 0952591
Reference: [4] Butzmann H.-P., Beattie R.: Some relations between sequential and filter convergence.Convergence Structures 1984 (Bechyně, 1984), Math. Res., 24, Akademie-Verlag, Berlin 1985, 65-70. MR 0835472
Reference: [5] Ferens C., Mikusinski J.: Urysohn's condition and Cauchy sequences.Proceedings of the Seminar of S. L. Sobolev No 1, Novosibirsk 1978, 122- 124. Zbl 0423.22001, MR 0567508
Reference: [6] Frič R., Kent D. C.: On c-embedded sequential convergence spaces.Convergence Structures and Applications to Analysis, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik N4 (1979), 33-36. MR 0613999
Reference: [7] Frič R., Koutník V.: Sequential structures.Convergence Structures and Applications to Analysis, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik N4 (1979), 37-56. MR 0614000
Reference: [8] Frič R., Koutník V.: Completions of convergence groups.General Topology and its Relations to Modern Analysis and Algebra, VI (Proc. Sixth Prague Topological Sympos., 1986), Heldermann Verlag, Berlin 1988, 187-201. MR 0952605
Reference: [9] Frič R., Zanolin F.: Sequential convergence in free groups.Rend. Ist. Matem. Univ. Trieste 18 (1986), 200-218. MR 0928331
Reference: [10] Koutník V.: Completeness of sequential convergence groups.Studia Math. 77 (1984), 455-464. MR 0751766, 10.4064/sm-77-5-455-464
Reference: [11] Novák J.: 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: [12] Zanolin F.: Solution of a problem of Josef Novák about convergence groups.Bolletino Un. Mat. Ital. (5) 14-A (1977), 375-381. Zbl 0352.54017, MR 0451220
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