Double convergence and products of Fréchet spaces

Czechoslovak Mathematical Journal

Volumn 48, Issue 2, 1998, Pages 207-227

  Novák, Josef ^a  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038583080     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022829218525     Document Type: Article

References (13)

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2. Arhangel'skiǐ, A. V.: The frequency spectrum of a topological space and the product operation. Trudy Moskovs. Mat. Obshch. 40 (1979), 171-206 (In Russian.); Trans. Moscow Math. Soc. 2 (1981), 163-300.
3. Boehme, T. K. and Rosenfeld, M.: An example of two compact Fréchet Hausdorff spaces, whose product is not Fréchet. J. London Math. Soc. 8 (1974), 339-344.
4. Frič, R. and Vojtáš, P.: Diagonal conditions in sequential convergence. Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně, 1984). Akademie-Verlag, Mathematical Research/ Mathematische Forschung Bd. 24, Berlin, 1985, pp. 77-94.
5. Kendrick, C. T.: On products of Fréchet spaces. Math. Nachr. 65 (1975), 117-123.
6. Kent, D. C.: Decisive convergence spaces, sequential spaces, and Fréchet spaces. Rocky Mtn. J. Math. 1 (1971), 367-374.
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8. Kratochvíl, P.: Multisequences and measure. Gnereal Topology and its Relations to Modern Analysis and Algebra, IV (Proc. Fourth Prague Topological Sympos., 1976) Part B Contributed Papers. Society of Czechoslovak Mathematicians and Physicists, Praha 1977, pp. 237-244.
9. Michael, E.: A quintuple quotient quest. Gen. Top. Appl. 2.
10. Novák, J.: On some topological spaces represented by systems of sets. Topology and its Applications (Proc. Int. Symposium, Herceg-Novi, 1968). Beograd. 1969, pp. 269-270.
11. Novák, J.: Concerning the topological product of two Fréchet spaces. Gnereal Topology and its Relations to Modern Analysis and Algebra, IV (Proc. Fourth Prague Topological Sympos., 1976), Part B Contributed Papers. Society of Czechoslovak Mathematicians and Physicists, Praha 1977, pp. 342-343.
12. Novák, J.: Convergence of double sequences. Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně, 1984). Akademie-Verlag, Mathematical Research/ Mathematische Forschung Bd. 24, Berlin, 1985, pp. 233-243.
13. Simon, P.: A compact Fréchet space whose square is not Fréchet. Comment. Math. Univ. Carolinae 21 (1980), 749-753.