| Title:
|
On multisequences and their application to products of sequential spaces (English) |
| Author:
|
Sitou, Saliou |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
235-241 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54B10 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 0957.54011 |
| idMR:
|
MR1728234 |
| . |
| Date available:
|
2009-09-25T11:37:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131543 |
| . |
| Reference:
|
[1] ARHANGEL'SKII A. V.: The frequency spectrum of a topological space and the classification of spaces.Sov. Math. Dokl. 13 (1972), 1185-1189 [Transl. from: Dokl. Akad. Nauk SSSR 206 (1972), 265-268]. MR 0394575 |
| Reference:
|
[2] ARHANGEL'SKII A. V.: The frequency spectrum of a topological space and the product operation.Trans. Moscow Math. Soc. 40 (1981), 164-200. |
| Reference:
|
[3] DOLECKI S.-SITOU S.: Precise bounds for sequential order of product of some Fréchet topologies.Topology Appl. 20 (1997), 1-15. |
| Reference:
|
[4] DOLECKI S.-SITOU S.: Ordre squentiel du produit de certaines topologies de Frechet.C. R. Acad. Sci. Paris Sér. I Math. 322 (1996), 465-470. MR 1381785 |
| Reference:
|
[5] FREMLIN D. H.: Sequential convergence in $C_p (X)$.Comment. Math. Univ. Carolin. 35 (1994), 371-382. MR 1286585 |
| Reference:
|
[6] FRIČ R.-VOJTAS P.: Diagonal conditions in sequential convergence.In: Convergence structures 1984 (Proc. Conf. on Convergence, Bechyne, 1984). Mathematical Research/Mathematische Forschung, Bd. 24, Akademie-Verlag, Berlin, 1995, pp. 77-94. MR 0835474 |
| Reference:
|
[7] KRATOCHVÍL P.: Multisequences and measure.In: General Topology and its Relations to Modern Analysis and Algebra IV. (Proc. Fourth Prague Topological Sympos., Prague 1976), Part B, Soc. Czech. Mathematicians and Physicists, Prague, 1997, pp. 237-244. MR 0460576 |
| Reference:
|
[8] KRATOCHVÍL P.: Multisequences and their structure in sequential spaces.In: Convergence structures 1984 (Proc. Conf. on Convergence, Bechyne, 1984). Mathematical Research/Mathematische Forschung Bd. 24, Akademie-Verlag, Berlin, 1995, pp. 205-216. MR 0835487 |
| Reference:
|
[9] MICHAEL E.: A note on closed maps and compact sets.Israel J. Math. 2 (1996), 173-176. MR 0177396 |
| Reference:
|
[10] MICHAEL E.: Local compactness and cartesian products of quotient maps and k-spaces.Ann. Inst. Fourier (Grenoble) 18 (1968), 281-286. Zbl 0175.19703, MR 0244943 |
| Reference:
|
[11] NOGURA T.-SHIBAKOV A.: Sequential order of product of Fréchet spaces.Topology Appl. 70 (1996), 245-253. Zbl 0854.54024, MR 1397080 |
| Reference:
|
[12] SITOU S.: Ordre séquentiel du produit de deux topologies de Fréchet.Ph.D Thesis, 1995. |
| Reference:
|
[13] TANAKA Y.: Products of sequential spaces.Proc. Amer. Math. Soc. 54 (1976), 371-375. Zbl 0292.54025, MR 0397665 |
| . |
