Sequentially determined convergence spaces

Ronald Beattie; Heinz-Peter Butzmann

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 2, page 231-247
  • ISSN: 0011-4642

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Beattie, Ronald, and Butzmann, Heinz-Peter. "Sequentially determined convergence spaces." Czechoslovak Mathematical Journal 37.2 (1987): 231-247. <http://eudml.org/doc/13636>.

@article{Beattie1987,
author = {Beattie, Ronald, Butzmann, Heinz-Peter},
journal = {Czechoslovak Mathematical Journal},
keywords = {first countable convergence structures; complete lattice},
language = {eng},
number = {2},
pages = {231-247},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequentially determined convergence spaces},
url = {http://eudml.org/doc/13636},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Beattie, Ronald
AU - Butzmann, Heinz-Peter
TI - Sequentially determined convergence spaces
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 2
SP - 231
EP - 247
LA - eng
KW - first countable convergence structures; complete lattice
UR - http://eudml.org/doc/13636
ER -

References

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  1. Antosik P., Matrix Mathods in Analysis, Lecture Notes in Mathematics 1113, Springer- Verlag Berlin-Heidelberg-New York-Tokyo 1985. (1985) 
  2. Binz E., Continuous Convergence on C(X), Lecture Notes in Mathematics 469, Springer-Verlag Berlin-Heidelberg-New York 1975. (1975) Zbl0306.54003MR0461418
  3. Beattie R., 10.1002/mana.19841160111, Math. Nachr. 116 (1984), 159-164. (1984) Zbl0574.46005MR0762597DOI10.1002/mana.19841160111
  4. Beattie R., The closed graph theorem in convergence spaces with webs, Convergence Structures and Applications II, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.- Technik N2 (1984), 9-13. (1984) MR0790146
  5. Beattie R., A convenient category for the closed graph theorem, Categorical Topology, Proc. Conference Toledo, Ohio 1983, Heldermann Verlag Berlin 1984, 29-45. (1983) MR0785010
  6. Beattie R., Butzmann H.-P., Strongly first countable convergence spaces, to appear in: Proceedings of the Conference on Convergence, Bechyně ČSSR 1984. (1984) MR0835469
  7. Beattie R., Butzmann H.-P, and Herrlich H., Filter convergence via sequential convergence, submitted. 
  8. Butzmann H.-P., Beattie R., Some relations between sequential and filter convergence, to appear in: Proceedings of the Conference on Convergence, Bechyně, ČSSR 1984. (1984) MR0835472
  9. Frič R., On convergence spaces and groups, Math. Slovaca 27 (1977), 323 - 330. (1977) MR0536835
  10. Frič R., On completions of Cauchy spaces, Proc. Conf. on Convergence (Szczyrk, 1979). Polsk. Acad. Nauk, Oddzial w Katowicach, Katowice, 1980, 24-28. (1979) MR0639311
  11. 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) MR0613999
  12. Frič R., Kent D. C, 10.1002/mana.19800990113, Math. Nachr. 99 (1980), 99-103. (1980) MR0637649DOI10.1002/mana.19800990113
  13. 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) MR0614000
  14. Frič R., Koutnik V., Recent development in sequential convergence, Convergence Structures and Applications II, Abh. Akad. Wiss. DDR, Abt.Math.-Naturwiss.- Technik N2 (1984), 37-46. (1984) MR0790150
  15. Frič R., McKennon K., Richardson G. D., Sequential convergence in C(X), Convergence Structures and Applications to Analysis, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik N4 (1979), 57-65. (1979) MR0614001
  16. Gähler W., Grundstrukturen der Analysis I, II, Birkhäuser-Verlag Berlin-Basel 1977, 1979. (1977) MR0459969
  17. Kranzler S. К., McDermott T. S., Continuous extension of sequentially continuous linear functional in inductive limits of normed spaces, Czech. Math. J. 25 (100) (1975), 190-201. (1975) MR0467229
  18. Novák J., On completions of convergence commutative groups, General Topology and it Relations to Modern Analysis and Algebra III, Academia, Praha 1972, 335- 340. (1972) MR0365451
  19. Rießinger T., Konvergenzen und Limitierungen, Master's Thesis, Mannheim 1985. (1985) 
  20. Schroder M., 10.1017/S0004972700042738, Bull. Austral. Math. Soc. 8 (1973), 443 - 459. (1973) Zbl0254.54003MR0320995DOI10.1017/S0004972700042738

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