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Some properties of C(X). I. (English) Zbl 0503.54020


MSC:

54C40 Algebraic properties of function spaces in general topology
54D55 Sequential spaces
91A24 Positional games (pursuit and evasion, etc.)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54A35 Consistency and independence results in general topology
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References:

[1] Arhangel’skiǐ, A. V., Construction and classification of topological spaces and cardinal invariants, Uspehi Mat. Nauk., 33, 29-84 (1978), (in Russian). · Zbl 0414.54002
[2] Engelking, R., General Topology (1977), PWN: PWN Warsaw
[3] Galvin, F., Indeterminacy of point-open games, Bull. Acad. Polon. Sci., 26, 445-449 (1978) · Zbl 0392.90101
[4] Gruenhage, G., Infinite games and generalizations of first countable spaces, Gen. Topology Appl., 6, 339-352 (1976) · Zbl 0327.54019
[5] Jech, T. J., Lectures in Set Theory with Particular Emphasis on the Method of Forcing (1971), Springer Verlag: Springer Verlag Berlin · Zbl 0236.02048
[6] Laver, R., On the consistency of Borel’s conjecture, Acta Math., 137, 151-169 (1976) · Zbl 0357.28003
[7] Rudin, M. E., Lectures on Set Theoretic Topology, AMS Regional Conf. Series in Math., 23 (1975) · Zbl 0318.54001
[8] Sharma, P. L., Some characterizations of \(W\)-spaces and \(w\)-spaces, Gen. Topology Appl., 9, 289-293 (1978) · Zbl 0411.54027
[9] Sierpinski, W., Hypothèse du Continu (1956), New York · Zbl 0075.00903
[10] Telgársky, R., Spaces defined by topological games, Fund. Math., 88, 193-223 (1975) · Zbl 0311.54025
[11] Telgársky, R., On point-open games and their generalizations, (Császár, A., Topology, Colloq. Math. Soc. János Bolyai, 23 (1980), North-Holland: North-Holland Amsterdam), 1167-1172
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