Products of sequential convergence properties
Czechoslovak Mathematical Journal, Tome 39 (1989) no. 2, pp. 262-279
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1989.102301
Classification : 54D55
@article{10_21136_CMJ_1989_102301,
     author = {Nogura, Tsugunori},
     title = {Products of sequential convergence properties},
     journal = {Czechoslovak Mathematical Journal},
     pages = {262--279},
     year = {1989},
     volume = {39},
     number = {2},
     doi = {10.21136/CMJ.1989.102301},
     mrnumber = {992133},
     zbl = {0691.54017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102301/}
}
TY  - JOUR
AU  - Nogura, Tsugunori
TI  - Products of sequential convergence properties
JO  - Czechoslovak Mathematical Journal
PY  - 1989
SP  - 262
EP  - 279
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102301/
DO  - 10.21136/CMJ.1989.102301
LA  - en
ID  - 10_21136_CMJ_1989_102301
ER  - 
%0 Journal Article
%A Nogura, Tsugunori
%T Products of sequential convergence properties
%J Czechoslovak Mathematical Journal
%D 1989
%P 262-279
%V 39
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102301/
%R 10.21136/CMJ.1989.102301
%G en
%F 10_21136_CMJ_1989_102301
Nogura, Tsugunori. Products of sequential convergence properties. Czechoslovak Mathematical Journal, Tome 39 (1989) no. 2, pp. 262-279. doi: 10.21136/CMJ.1989.102301

[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

[2] A. V. Arhangel'skii: The frequency spectrum of a topological space and the product operation. Trans. Moscow Math. Soc. (1981) 163-200.

[3] S. P. Franklin: Spaces in which sequences suffice. Fund. Math. 57 (1965) 107-115. | DOI | MR | Zbl

[4] R. Frič, P. Vojtáš: Diagonal conditions in sequential convergence. Proc. Conf. on Convergence, Bechyně, 1984. Akademie-Verlag Berlin 1985. | MR

[5] G. Gruenhage: Infinite games and generalization of first countable spaces. Gen. Topology Appl. 6 (1976) 339-352. | DOI | MR

[6] G. Gruenhage: A note on the product of Fréchet spaces. Topology Proc. 3 (1978) 109-115. | MR

[7] V. I. Malyhin: On countable space having no bicompactification of countable tightness. Soviet Math. Dokl. 13 (1972) 1407-1411. | MR

[8] E. Michael: A quintuple quotient quest. Gen. Topology Appl. 2 (1972) 91-138. | DOI | MR | Zbl

[9] N. Noble: Products with closed projections II. Trans. Amer. Soc. 160 (1971) 169-183. | DOI | MR | Zbl

[10] T. Nogura: Fréchetness ofinverse limits and products. Topology Appl. 20 (1985) 59-66. | DOI | MR

[11] T. Nogura: Products of $\langle \alpha_i \rangle$-spaces. Topology Appl. 21 (1985) 251-259.

[12] T. Nogura: A counterexample for a problem of Arhangelskii Concerning products of Fréchet spaces. Topology Appl. 25 (1987), 75-80. | DOI | MR

[13] R. C. Olson: Bi-quotient maps, countably bi-sequential spaces. Gen. Topology Appl. 4 (1974) 1-28. | DOI | MR | Zbl

[14] P. Simon: A compact Fréchet space whose square is not Fréchet. Comment. Math. Univ. Carolinae 21 (1980) 749-753. | MR | Zbl

[15] F. Siwiec: Sequence-covering and countably bi-quotient mappings. Gen. Topology Appl. 1 (1971) 143-154. | DOI | MR | Zbl

Cité par Sources :