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Function spaces of low Borel complexity. (English) Zbl 0525.54010


MSC:

54C35 Function spaces in general topology
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
54C50 Topology of special sets defined by functions
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References:

[1] Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna. Tom 47. [Mathematics Library. Vol. 47]. Ryszard Engelking, General topology, PWN — Polish Scientific Publishers, Warsaw, 1977. Translated from the Polish by the author; Monografie Matematyczne, Tom 60. [Mathematical Monographs, Vol. 60].
[2] J. de Groot, Subcompactness and the Baire category theorem, Nederl. Akad. Wetensch. Proc. Ser. A 66=Indag. Math. 25 (1963), 761 – 767. · Zbl 0118.17901
[3] D. Lutzer, J. van Mill, and R. Pol, Descriptive complexity of function spaces, Trans. Amer. Math. Soc. 291 (1985), no. 1, 121 – 128. · Zbl 0574.54042
[4] D. J. Lutzer and R. A. McCoy, Category in function spaces. I, Pacific J. Math. 90 (1980), no. 1, 145 – 168. · Zbl 0481.54017
[5] Stephen Willard, General topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1970. · Zbl 1052.54001
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