On multisequences and their application to products of sequential spaces
Mathematica slovaca, Tome 49 (1999) no. 3, pp. 235-241
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 54B10, 54D55
@article{MASLO_1999_49_3_a0,
     author = {Sitou, Saliou},
     title = {On multisequences and their application to products of sequential spaces},
     journal = {Mathematica slovaca},
     pages = {235--241},
     year = {1999},
     volume = {49},
     number = {3},
     mrnumber = {1728234},
     zbl = {0957.54011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1999_49_3_a0/}
}
TY  - JOUR
AU  - Sitou, Saliou
TI  - On multisequences and their application to products of sequential spaces
JO  - Mathematica slovaca
PY  - 1999
SP  - 235
EP  - 241
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_1999_49_3_a0/
LA  - en
ID  - MASLO_1999_49_3_a0
ER  - 
%0 Journal Article
%A Sitou, Saliou
%T On multisequences and their application to products of sequential spaces
%J Mathematica slovaca
%D 1999
%P 235-241
%V 49
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_1999_49_3_a0/
%G en
%F MASLO_1999_49_3_a0
Sitou, Saliou. On multisequences and their application to products of sequential spaces. Mathematica slovaca, Tome 49 (1999) no. 3, pp. 235-241. http://geodesic.mathdoc.fr/item/MASLO_1999_49_3_a0/

[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

[2] ARHANGEL'SKII A. V.: The frequency spectrum of a topological space and the product operation. Trans. Moscow Math. Soc. 40 (1981), 164-200.

[3] DOLECKI S.-SITOU S.: Precise bounds for sequential order of product of some Fréchet topologies. Topology Appl. 20 (1997), 1-15.

[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

[5] FREMLIN D. H.: Sequential convergence in $C_p (X)$. Comment. Math. Univ. Carolin. 35 (1994), 371-382. | MR

[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

[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

[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

[9] MICHAEL E.: A note on closed maps and compact sets. Israel J. Math. 2 (1996), 173-176. | MR

[10] MICHAEL E.: Local compactness and cartesian products of quotient maps and k-spaces. Ann. Inst. Fourier (Grenoble) 18 (1968), 281-286. | MR | Zbl

[11] NOGURA T.-SHIBAKOV A.: Sequential order of product of Fréchet spaces. Topology Appl. 70 (1996), 245-253. | MR | Zbl

[12] SITOU S.: Ordre séquentiel du produit de deux topologies de Fréchet. Ph.D Thesis, 1995.

[13] TANAKA Y.: Products of sequential spaces. Proc. Amer. Math. Soc. 54 (1976), 371-375. | MR | Zbl