Title:
|
Sequentially determined convergence spaces (English) |
Author:
|
Beattie, Ronald |
Author:
|
Butzmann, Heinz-Peter |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
37 |
Issue:
|
2 |
Year:
|
1987 |
Pages:
|
231-247 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
22A05 |
MSC:
|
54A05 |
MSC:
|
54A10 |
MSC:
|
54A20 |
idZBL:
|
Zbl 0652.54001 |
idMR:
|
MR882596 |
DOI:
|
10.21136/CMJ.1987.102151 |
. |
Date available:
|
2008-06-09T15:15:29Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102151 |
. |
Reference:
|
[A] Antosik P.: Matrix Mathods in Analysis.Lecture Notes in Mathematics 1113, Springer- Verlag Berlin-Heidelberg-New York-Tokyo 1985. |
Reference:
|
[B] Binz E.: Continuous Convergence on C(X).Lecture Notes in Mathematics 469, Springer-Verlag Berlin-Heidelberg-New York 1975. Zbl 0306.54003, MR 0461418 |
Reference:
|
[Be-1] Beattie R.: Convergence spaces with webs.Math. Nachr. 116 (1984), 159-164. Zbl 0574.46005, MR 0762597, 10.1002/mana.19841160111 |
Reference:
|
[Be-2] 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. MR 0790146 |
Reference:
|
[Be-3] Beattie R.: A convenient category for the closed graph theorem.Categorical Topology, Proc. Conference Toledo, Ohio 1983, Heldermann Verlag Berlin 1984, 29-45. MR 0785010 |
Reference:
|
[BeBu] Beattie R., Butzmann H.-P.: Strongly first countable convergence spaces, to appear in: Proceedings of the Conference on Convergence.Bechyně ČSSR 1984. MR 0835469 |
Reference:
|
[BeBuH] Beattie R., Butzmann H.-P, and Herrlich H.: Filter convergence via sequential convergence.submitted. |
Reference:
|
[BuBe] Butzmann H.-P., Beattie R.: Some relations between sequential and filter convergence.to appear in: Proceedings of the Conference on Convergence, Bechyně, ČSSR 1984. MR 0835472 |
Reference:
|
[F-1] Frič R.: On convergence spaces and groups.Math. Slovaca 27 (1977), 323 - 330. MR 0536835 |
Reference:
|
[F-2] Frič R.: On completions of Cauchy spaces.Proc. Conf. on Convergence (Szczyrk, 1979). Polsk. Acad. Nauk, Oddzial w Katowicach, Katowice, 1980, 24-28. MR 0639311 |
Reference:
|
[FKe-1] 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. MR 0613999 |
Reference:
|
[FKe-2] Frič R., Kent D. C: Completions of pseudotopological groups.Math. Nachr. 99 (1980), 99-103. MR 0637649, 10.1002/mana.19800990113 |
Reference:
|
[FKo-1] Frič R., Koutník V.: Sequential structures.Convergence Structures and Applications to Analysis, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik N4 (1979), 37-56. MR 0614000 |
Reference:
|
[FKo-2] 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. MR 0790150 |
Reference:
|
[FMR] 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. MR 0614001 |
Reference:
|
[G] Gähler W.: Grundstrukturen der Analysis I, II.Birkhäuser-Verlag Berlin-Basel 1977, 1979. MR 0459969 |
Reference:
|
[KM] 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. MR 0467229 |
Reference:
|
[N] Novák J.: On completions of convergence commutative groups.General Topology and it Relations to Modern Analysis and Algebra III, Academia, Praha 1972, 335- 340. MR 0365451 |
Reference:
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[R] Rießinger T.: Konvergenzen und Limitierungen.Master's Thesis, Mannheim 1985. |
Reference:
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[S] Schroder M.: Solid convergence spaces.Bull. Austral. Math. Soc. 8 (1973), 443 - 459. Zbl 0254.54003, MR 0320995, 10.1017/S0004972700042738 |
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