| Title:
|
Products of sequential convergence properties (English) |
| Author:
|
Nogura, Tsugunori |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
262-279 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 0691.54017 |
| idMR:
|
MR992133 |
| DOI:
|
10.21136/CMJ.1989.102301 |
| . |
| Date available:
|
2008-06-09T15:26:53Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102301 |
| . |
| Reference:
|
[1] A. V. Arhangel'skii: The frequency spectrum of a topological space and the classification of spaces.Soviet Math. Dokl. 13 (1972) 265-268. MR 0394575 |
| Reference:
|
[2] A. V. Arhangel'skii: The frequency spectrum of a topological space and the product operation.Trans. Moscow Math. Soc. (1981) 163-200. |
| Reference:
|
[3] S. P. Franklin: Spaces in which sequences suffice.Fund. Math. 57 (1965) 107-115. Zbl 0132.17802, MR 0180954, 10.4064/fm-57-1-107-115 |
| Reference:
|
[4] R. Frič, P. Vojtáš: Diagonal conditions in sequential convergence.Proc. Conf. on Convergence, Bechyně, 1984. Akademie-Verlag Berlin 1985. MR 0835474 |
| Reference:
|
[5] G. Gruenhage: Infinite games and generalization of first countable spaces.Gen. Topology Appl. 6 (1976) 339-352. MR 0413049, 10.1016/0016-660X(76)90024-6 |
| Reference:
|
[6] G. Gruenhage: A note on the product of Fréchet spaces.Topology Proc. 3 (1978) 109-115. MR 0540482 |
| Reference:
|
[7] V. I. Malyhin: On countable space having no bicompactification of countable tightness.Soviet Math. Dokl. 13 (1972) 1407-1411. MR 0320981 |
| Reference:
|
[8] E. Michael: A quintuple quotient quest.Gen. Topology Appl. 2 (1972) 91-138. Zbl 0238.54009, MR 0309045, 10.1016/0016-660X(72)90040-2 |
| Reference:
|
[9] N. Noble: Products with closed projections II.Trans. Amer. Soc. 160 (1971) 169-183. Zbl 0233.54004, MR 0283749, 10.1090/S0002-9947-1971-0283749-X |
| Reference:
|
[10] T. Nogura: Fréchetness ofinverse limits and products.Topology Appl. 20 (1985) 59-66. MR 0798445, 10.1016/0166-8641(85)90035-5 |
| Reference:
|
[11] T. Nogura: Products of $\langle \alpha_i \rangle$-spaces.Topology Appl. 21 (1985) 251-259. |
| Reference:
|
[12] T. Nogura: A counterexample for a problem of Arhangelskii Concerning products of Fréchet spaces.Topology Appl. 25 (1987), 75-80. MR 0874979, 10.1016/0166-8641(87)90076-9 |
| Reference:
|
[13] R. C. Olson: Bi-quotient maps, countably bi-sequential spaces.Gen. Topology Appl. 4 (1974) 1-28. Zbl 0278.54008, MR 0365463, 10.1016/0016-660X(74)90002-6 |
| Reference:
|
[14] P. Simon: A compact Fréchet space whose square is not Fréchet.Comment. Math. Univ. Carolinae 21 (1980) 749-753. Zbl 0466.54022, MR 0597764 |
| Reference:
|
[15] F. Siwiec: Sequence-covering and countably bi-quotient mappings.Gen. Topology Appl. 1 (1971) 143-154. Zbl 0218.54016, MR 0288737, 10.1016/0016-660X(71)90120-6 |
| . |
