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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topBeattie, 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
top- Antosik P., Matrix Mathods in Analysis, Lecture Notes in Mathematics 1113, Springer- Verlag Berlin-Heidelberg-New York-Tokyo 1985. (1985)
- Binz E., Continuous Convergence on C(X), Lecture Notes in Mathematics 469, Springer-Verlag Berlin-Heidelberg-New York 1975. (1975) Zbl0306.54003MR0461418
- Beattie R., 10.1002/mana.19841160111, Math. Nachr. 116 (1984), 159-164. (1984) Zbl0574.46005MR0762597DOI10.1002/mana.19841160111
- 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
- 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
- Beattie R., Butzmann H.-P., Strongly first countable convergence spaces, to appear in: Proceedings of the Conference on Convergence, Bechyně ČSSR 1984. (1984) MR0835469
- Beattie R., Butzmann H.-P, and Herrlich H., Filter convergence via sequential convergence, submitted.
- 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
- Frič R., On convergence spaces and groups, Math. Slovaca 27 (1977), 323 - 330. (1977) MR0536835
- 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
- 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
- Frič R., Kent D. C, 10.1002/mana.19800990113, Math. Nachr. 99 (1980), 99-103. (1980) MR0637649DOI10.1002/mana.19800990113
- 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
- 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
- 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
- Gähler W., Grundstrukturen der Analysis I, II, Birkhäuser-Verlag Berlin-Basel 1977, 1979. (1977) MR0459969
- 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
- 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
- Rießinger T., Konvergenzen und Limitierungen, Master's Thesis, Mannheim 1985. (1985)
- Schroder M., 10.1017/S0004972700042738, Bull. Austral. Math. Soc. 8 (1973), 443 - 459. (1973) Zbl0254.54003MR0320995DOI10.1017/S0004972700042738
Citations in EuDML Documents
top- Roman Frič, Cauchy sequences in -groups
- Roman Frič, Darrell C. Kent, Regular -spaces
- Roman Frič, Fabio Zanolin, Coarse sequential convergence in groups, etc
- Roman Frič, Darrell C. Kent, Regularity and extension of maps
- Roman Frič, Rationals with exotic convergences
- Roman Frič, János Gerlits, On the sequential order
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