On convergence groups with dense coarse subgroups
Dikran N. Dikranjan; Roman Frič; Fabio Zanolin
Czechoslovak Mathematical Journal (1987)
- Volume: 37, Issue: 3, page 471-479
- ISSN: 0011-4642
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topDikranjan, Dikran N., Frič, Roman, and Zanolin, Fabio. "On convergence groups with dense coarse subgroups." Czechoslovak Mathematical Journal 37.3 (1987): 471-479. <http://eudml.org/doc/13655>.
@article{Dikranjan1987,
author = {Dikranjan, Dikran N., Frič, Roman, Zanolin, Fabio},
journal = {Czechoslovak Mathematical Journal},
keywords = {precompact group; convergence structure; topological groups; coarse convergence groups; sequentially compact; divisible Abelian group},
language = {eng},
number = {3},
pages = {471-479},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On convergence groups with dense coarse subgroups},
url = {http://eudml.org/doc/13655},
volume = {37},
year = {1987},
}
TY - JOUR
AU - Dikranjan, Dikran N.
AU - Frič, Roman
AU - Zanolin, Fabio
TI - On convergence groups with dense coarse subgroups
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 3
SP - 471
EP - 479
LA - eng
KW - precompact group; convergence structure; topological groups; coarse convergence groups; sequentially compact; divisible Abelian group
UR - http://eudml.org/doc/13655
ER -
References
top- D. Dikranjan, Sur la minimalité dies produits de groupes topologiques abéliens, C.R. Acad. Sc. Paris t. 299, Série I, No. 8 (1984), 303-306. (1984) MR0761252
- R. Frič, F. Zanolin, Remarks on sequential convergence in free groups, Colloq. Math. Soc. János Bollyai, 41. Topology and Applications, Eger (Hungary), 1983, North-Holland, Amsterdam, 1985, 283-291. (1983) MR0863910
- R. Frič, F. Zanolin, Coarse convergence groups, Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 107-114. (1984) MR0835476
- R. Frič, P. Vojtáš, Diagonal conditions in sequential convergence, Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 77-94. (1984) MR0835474
- L. Fuchs, Infinite abelian groups I, II, Academic Press, New York 1970, 1973. (1970)
- J. Jakubík, On convergence in linear spaces, (Slovak. Russian summary.) Mat.-Fyz. Časopis Sloven. Akad. Vied 6 (1956), 57-67. (1956) MR0084718
- V. Koutník, 10.4064/sm-77-5-455-464, Studia Math. 77 (1983), 455-464. (1983) MR0751766DOI10.4064/sm-77-5-455-464
- J. Novák, On some problems concerning the convergence spaces and groups, General Topology and its Relations to Modern Analysis and Algebra (Proc. Kanpur Topological Conf., 1968), Academia, Praha 1970, 219-229. (1968) MR0278253
- J. Novák, On convergence groups, Czechoslovak Math. J. 20 (1970), 357-374. (1970) MR0263973
- J. Novák, 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) MR0365451
- I. Prodanov, Precompact minimal group topologies and p-adic numbers, Annuaire Univ. Sofia Fac. Math. 66 (1971/1972), 249-266. (1971) MR0412323
- R. Stephenson, 10.1007/BF02052870, Math. Ann. 142 (1971), 193-195. (1971) Zbl0206.31601MR0286934DOI10.1007/BF02052870
- F. Zanolin, Solution of a problem of Josef Novák about convergence groups, Boll. Un. Mat. Ital., (5) 14-A (1977), 375-381. (1977) Zbl0352.54017MR0451220
- F. Zanolin, Example of a convergence commutative group which is not separated, Czechoslovak Math. J. 34 (1984), 169-171. (1984) Zbl0546.54007MR0743481
Citations in EuDML Documents
top- Roman Frič, Rationals with exotic convergences. II.
- Roman Frič, Products of coarse convergence groups
- Roman Frič, Fabio Zanolin, Coarse sequential convergence in groups, etc
- Petr Simon, Rationals as a non-trivial complete convergence group
- Ján Jakubík, Sequential convergences in distributive lattices
- Roman Frič, Fabio Zanolin, Relatively coarse sequential convergence
- Matúš Harminc, Ján Jakubík, Maximal convergences and minimal proper convergences in -groups
- Roman Frič, Rationals with exotic convergences
- Roman Frič, János Gerlits, On the sequential order
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