On the sequential order

Roman Frič; János Gerlits

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 505-512
  • ISSN: 0232-0525

How to cite

top

Frič, Roman, and Gerlits, János. "On the sequential order." Mathematica Slovaca 42.4 (1992): 505-512. <http://eudml.org/doc/34347>.

@article{Frič1992,
author = {Frič, Roman, Gerlits, János},
journal = {Mathematica Slovaca},
keywords = {convergence group; sequential convergence; sequential order},
language = {eng},
number = {4},
pages = {505-512},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the sequential order},
url = {http://eudml.org/doc/34347},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Frič, Roman
AU - Gerlits, János
TI - On the sequential order
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 505
EP - 512
LA - eng
KW - convergence group; sequential convergence; sequential order
UR - http://eudml.org/doc/34347
ER -

References

top
  1. ARHANGEĽSKIĬ A. V., FRANKLIN S. P., New ordinal invariants for topological spaces, Michigan Math. J. 15 (1968), 313-320. (1968) MR0240767
  2. BEATTIE R., BUTZMANN H.-P., Sequentially determined convergence spaces, Czechoslovak Math. J. 37 (1987), 231-247. (1987) Zbl0652.54001MR0882596
  3. CONTESSA M., ZANOLIN F., Example of a commutative convergence ring which has no completion, Boll. Un. Mat. Ital. A (5) 18 (1981), 467-472. (1981) Zbl0466.54001MR0633683
  4. DIKRANJAN D., Non-completeness measure of convergence Abelian groups, In: General Topology and its Relations to Modern Analysis and Algebra VI. (Proc. Sixth. Prague Topological Sympos., 1986), Heldermann Verlag, Berlin, 1988, pp. 125-134. (1986) MR0952600
  5. DIKRANJAN D., FRIČ R., ZANOLIN F., On convergence groups with dense coarse subgroups, Czechoslovak Math. J. 37 (1987), 471-479. (1987) Zbl0637.22002MR0904771
  6. FRIČ R., Rational with exotic convergences, Math. Slovaca 39 (1989), 141-147. (1989) MR1018255
  7. FRIČ R., KENT D. C., Completion of pseudo-topological groups, Math. Nachr. 99 (1980), 99-103. (1980) Zbl0477.22001MR0637649
  8. FRIČ R., KOUTNÍK V., Completions of convergence groups, In:General Topology and its Relations to Modern Analysis and Algebra VI. (Proc. Sixth. Prague Topological Sympos., 1986), Heldermann Verlag, Berlin, 1988, pp. 187-201. (1986) MR0952605
  9. FRIČ R., ZANOLIN F., A convergence group having no completion, In: Convergence Structures and Applications, II. (Proc. Schwerin Conference) Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik 2 1984, Akademie-Verlag, Berlin, 1984, pp. 47-48. (1984) MR0790151
  10. FRIČ R., ZANOLIN F., Coarse convergence groups, In: Convergence Structures 1884. (Proc. Conf. on Convergence, Bechyně 1984), Akademie-Verlag, Berlin, 1985, pp. 107-114. (1984) MR0835476
  11. FRIČ R., ZANOLIN F., Coarse sequential convergence in groups, etc., Czechoslovak Math. J. 40 (1990), 459-467. (1990) Zbl0747.54002MR1065025
  12. GRECO G. H., The sequential defect of the cross topology is ω1, Topology Appl. 19 (1985), 91-94. (1985) MR0786084
  13. KANNAN V., Ordinal invariants in topology, Mem. Amer. Math. Soc. 32 no. 245 (1981). (1981) Zbl0473.54001MR0617500
  14. KNEIS G., Eine allgemeine Theorie der Vervollstandigung und Čech-Stone-Kompaktifizierung, (Dr. Sc. Nat. Dissertation), Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, 1983. (1983) 
  15. KNEIS G., Completion of sequential convergence groups, In: Proc. Conf. Topology and Measure IV, Greifswald 1984, Part 1. Wiss. Beitr. der Ernst-Moritz-Arnd Universität Greifswald, pp. 125-132. (1984) Zbl0579.54004MR0824015
  16. KOUTNÍK V., Completeness of sequential convergence groups, Studia Math. 77 (1984), 454-464. (1984) Zbl0546.54006MR0751766
  17. KOUTNÍK V., NOVÁK J., Completion of a class of convergence rings, (To appear). 
  18. NOVÁK J., On convergence spaces and their sequential envelopes, Czechoslovak Math. J. 15 (1965), 74-100. (1965) MR0175083
  19. 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. (1971) MR0365451

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.