Rationals with exotic convergences

Roman Frič

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 2, page 141-147
  • ISSN: 0232-0525

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Frič, Roman. "Rationals with exotic convergences." Mathematica Slovaca 39.2 (1989): 141-147. <http://eudml.org/doc/31982>.

@article{Frič1989,
author = {Frič, Roman},
journal = {Mathematica Slovaca},
keywords = {sequential convergence group; sequential convergence vector space; rational numbers; sequential convergence structure; sequential convergence ring},
language = {eng},
number = {2},
pages = {141-147},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Rationals with exotic convergences},
url = {http://eudml.org/doc/31982},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Frič, Roman
TI - Rationals with exotic convergences
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 2
SP - 141
EP - 147
LA - eng
KW - sequential convergence group; sequential convergence vector space; rational numbers; sequential convergence structure; sequential convergence ring
UR - http://eudml.org/doc/31982
ER -

References

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  2. BEATTIE R., BUTZМANN H.-P., Sequentially determined convergence spaces, Czechoslovak Math. J. 37, 1987, 231-247. (1987) MR0882596
  3. BEATTIE R., BUTZMANN H. P., HERRLICH H., Filter convergence via sequential convergence, Comment. Math. Univ. Carolinae 27, 1986, 69-81. (1986) Zbl0591.54003MR0843421
  4. CONTESSA M., ZANOLIN F., On some remarks about a not completable convergence ring, General Topology and its Relations to Modern Analysis and Algebra V (Proc. Fifth Prague Topological Sympos., Prague 1981). Heldermann Verlag, Berlin 1982, 98-103. (1981) MR0698397
  5. DIKRANJAN D., Non-completeness measure of convergence Abelian groups, General Topology and its Relations to Modern Analysis and Algebra VI (Proc. Sixth Prague Topological Sympos., Prague 1986). Heldermann Verlag, Berlin 1988, 125-134. (1986) MR0952600
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  7. DUDLEY R. M., On sequential convergence, Trans. Amer. Math. Soc. 112, 1964, 483-507. (Corrections to "On sequential convergence", Trans. Amer. Math. Soc. 148, 1970, 623-624.) (1964) Zbl0138.17401MR0257959
  8. FRIČ R., ZANOLIN F., Coarse convergence groups, Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag, Berlin 1985, 107-114. (1984) MR0835476
  9. GÄHLER W., Grundstrukturen der Analysis, Vol. I, Berlin-Basel 1977, Vol. II, Berlin-Basel 1979. (1977) Zbl0351.54001
  10. HEJCMAN J., Topological vector group topologies for the real line, General Topology and its Relations to Modern Analysis and Algebra VI (Proc. Sixth Prague Topological Sympos., Prague 1986). Heldermann Verlag, Berlin 1988, 241-248. (1986) MR0952610
  11. JAKUBÍK J., On convergence in linear spaces, (Slovak. Russian summary.) Mat.-Fyz. Časopis Slovensk. Akad. Vied 6, 1956, 57-67. (1956) MR0084718
  12. KOUTNÍK V., Completeness of sequential convergence groups, Studia Math. 77, 1983, 455-464. (1983) MR0751766
  13. LJUSTERNIK L. A., SOBOLEV V. I., Elements of functional analysis, (Russian.) Moscow 1951. (1951) 
  14. MAZUR S., ORLICZ W., Sur les espaces métriques linéaires, Studia Math. 10, 1948, 184-208. (1948) Zbl0036.07801MR0029472
  15. NOVÁK J., On convergence groups, Czechoslovak Math. J. 20, 1970, 357-374. (1970) Zbl0217.08504MR0263973
  16. PAP E., Functional analysis, (Serbo-Croatian.) Novi Sad, 1983. (1983) Zbl0504.46009MR0683763
  17. RAĬKOV D. A., O B-polnyh topologičeskih vektornyh gruppah, Studia Math. 31, 1968, 295-306. (1968) 
  18. ZANOLIN F., Example of a convergence group which is not separated, Czechoslovak Math. J. 34, 1984, 169-171. (1984) MR0743481

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