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Convergence, closed projections, and compactness. (English) Zbl 0282.54001


MSC:

54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54D30 Compactness
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54B10 Product spaces in general topology
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[1] A. V. Arhangel\(^{\prime}\)skiĭ and S. P. Franklin, Ordinal invariants for topological spaces, Michigan Math. J. 15 (1968), 313-320; addendum, ibid. 15 (1968), 506. · Zbl 0167.51102
[2] Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39 – 56. · JFM 63.0567.06 · doi:10.2307/1968508
[3] I. Fleischer and S. P. Franklin, On compactness and projection, Internationale Spezialtagung für Erweiterungs-theorie topologischer Strukturen und deren Anwendunge, Berlin, 1967, pp. 77-79.
[4] S. P. Franklin, Spaces in which sequences suffice, Fund. Math. 57 (1965), 107 – 115. · Zbl 0132.17802
[5] S. P. Franklin, Natural covers, Compositio Math. 21 (1969), 253 – 261. · Zbl 0188.27901
[6] Douglas Harris, Transfinite metrics, sequences and topological properties, Fund. Math. 73 (1971/72), no. 2, 137 – 142. · Zbl 0224.54031
[7] Horst Herrlich, Quotienten geordneter Räume und Folgenkonvergenz, Fund. Math. 61 (1967), 79 – 81 (German). · Zbl 0158.41103
[8] R. E. Hodel and J. E. Vaughan, A note on [\?,\?]-compactness, General Topology and Appl. 4 (1974), 179 – 189. · Zbl 0284.54012
[9] N. Howes, Well-ordered sequences, Dissertation, Texas Christian University, Forth Worth, Tex., 1968.
[10] -, Ordered coverings and their relationship to some unsolved problems in topology, Proc. Washington State University Conference on General Topology, 1970, pp. 60-68.
[11] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604
[12] D. C. Kent, Spaces in which well ordered nets suffice, Proc. Washington State Univ. Conf. on General Topology (Pullman, Wash., 1970), Pi Mu Epsilon, Dept. of Math., Washington State Univ., Pullman, Wash., 1970, pp. 87 – 101. · Zbl 0194.54202
[13] N. Noble, Products with closed projections. II, Trans. Amer. Math. Soc. 160 (1971), 169 – 183. · Zbl 0233.54004
[14] Paul R. Meyer, Sequential space methods in general topological spaces, Colloq. Math. 22 (1971), 223 – 228. · Zbl 0227.54003
[15] S. Mrówka, On function spaces, Fund. Math. 45 (1958), 273 – 282. · Zbl 0084.38204
[16] J. E. Vaughan, Product spaces with compactness-like properties, Duke Math. J. 39 (1972), 611 – 617. · Zbl 0253.54015
[17] -, Some properties related to \( [\mathfrak{a},\mathfrak{b}]\)-compactness, Fund. Math. (to appear).
[18] Karel Wichterle, On \?-convergence spaces, Czechoslovak Math. J. 18 (93) (1968), 569 – 588 (English, with Loose Russian summary). · Zbl 0177.24904
[19] Irving Glicksberg, Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959), 369 – 382. · Zbl 0089.38702
[20] R. M. Stephenson Jr. and J. E. Vaughan, Products of initially \?-compact spaces, Trans. Amer. Math. Soc. 196 (1974), 177 – 189. · Zbl 0296.54005
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