Two-fold theorem on fréchetness of products

Czechoslovak Mathematical Journal

Volumn 49, Issue 2, 1999, Pages 421-429

  Dolecki, S ^a   Nogura, T ^a  

^a UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

Product space; Sequential space; Sequentially subtransverse; Strongly Fr chet; Transverse; 3; 4; 3; 4 spaces; space

Indexed keywords

EID: 0034391505     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022420806729     Document Type: Article

References (13)

1. [1] A. V. Arhangel'skii: The frequency spectrum of a topological space and the product operation. Trans. Moscow Math. Soc. (1981), 164-200.
2. [2] S. Dolecki and S. Sitou: Precise bounds for sequential order of products of some Fréchet topologies. Topology Appl.. To appear.
3. [3] E. K. van Douwen: The product of a Fréchet space and a metrizable space. Topology Appl. 47 (1992), 163-164.
4. [4] R. Engelking: General Topology. PWN Warszawa (1977).
5. [5] E. Michael: A quintuple quotient quest. General Topology Appl. 2 (1972), 91-138.
6. [6] E. Michael: A note on closed maps and compact sets. Israel J. Math. 2 (1964), 174-176.
7. [7] T. Nogura: Fréchetness of inverse limits and products. Topology and Appl. 20 (1985), 59-66.
8. i〉-spaces. Topology and Appl. 21 (1985), 251-259.
9. [9] J. Novák: On convergence group. Czechoslovak Math. J. 20 (1970), 357-374.
10. [10] P. Nyikos: The Cantor tree and the Fréchet-Urysohn property. Annals N.Y. Acad. Sc. 552 (1989), 109-123.
11. i-properties. Topology Appl. 48 (1992), 91-116.
12. [12] V. V Popov and D. V. Rančin: On certain strengthening of the property of Fréchet-Urysohn. Vest. Moscow Univ. 2 (1978), 75-80.
13. [13] Y. Tanaka: Products of sequential spaces. Proc. Amer. Math. Soc. 54 (1976), 371-375.