Cauchy sequences in -groups

Roman Frič

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 1, page 25-30
  • ISSN: 0011-4642

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Frič, Roman. "Cauchy sequences in $\mathcal {L}$-groups." Czechoslovak Mathematical Journal 40.1 (1990): 25-30. <http://eudml.org/doc/13827>.

@article{Frič1990,
author = {Frič, Roman},
journal = {Czechoslovak Mathematical Journal},
keywords = {convergence space; sequential convergence; Cauchy sequences in an -group},
language = {eng},
number = {1},
pages = {25-30},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cauchy sequences in $\mathcal \{L\}$-groups},
url = {http://eudml.org/doc/13827},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Frič, Roman
TI - Cauchy sequences in $\mathcal {L}$-groups
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 1
SP - 25
EP - 30
LA - eng
KW - convergence space; sequential convergence; Cauchy sequences in an -group
UR - http://eudml.org/doc/13827
ER -

References

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  1. Beattie R., Butzmann H.-P., Sequentially determined convergence spaces, Czechoslovak Math. J. 37 (1987), 231-247. (1987) Zbl0652.54001MR0882596
  2. Beattie R., Butzmann H.-P., Herrlich H., Filter convergence via sequential convergence, Comment. Math. Univ. Carolin. 27 (1986), 69 - 81. (1986) Zbl0591.54003MR0843421
  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. (1986) Zbl0643.54004MR0952591
  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. (1984) Zbl0579.54003MR0835472
  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. (1978) Zbl0423.22001MR0567508
  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. (1979) Zbl0457.54002MR0613999
  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. (1979) Zbl0464.54002MR0614000
  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. (1986) Zbl0646.54004MR0952605
  9. Frič R., Zanolin F., Sequential convergence in free groups, Rend. Ist. Matem. Univ. Trieste 18 (1986), 200-218. (1986) Zbl0652.22001MR0928331
  10. Koutník V., Completeness of sequential convergence groups, Studia Math. 77 (1984), 455-464. (1984) Zbl0546.54006MR0751766
  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. (1971) Zbl0309.22004MR0365451
  12. Zanolin F., Solution of a problem of Josef Novák about convergence groups, Bolletino Un. Mat. Ital. (5) 14-A (1977), 375-381. (1977) Zbl0352.54017MR0451220

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