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Eine Charakterisierung von Lindelöf-Räumen. (German) Zbl 0302.54018

MSC:

54C40 Algebraic properties of function spaces in general topology
54A05 Topological spaces and generalizations (closure spaces, etc.)
46E25 Rings and algebras of continuous, differentiable or analytic functions
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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References:

[1] E. Binz, Bemerkungen zu limitierten Funktionenalgebren. Math. Ann.175, 169-184 (1968). · Zbl 0167.43601 · doi:10.1007/BF02052720
[2] E. Binz, Zu den Beziehungen zwischenc-einbettbaren Limesräumen und ihren Funktionenalgebren. Math. Ann.181, 45-52 (1969). · Zbl 0186.56002 · doi:10.1007/BF01351177
[3] E. Binz andW. Feldman, On a Marinescu-Structure onC (X). Comment. Math. Helv.46, 436-450 (1971). · Zbl 0234.46027 · doi:10.1007/BF02566856
[4] E.Binz und H. H.Keller, Funktionenräume in der Kategorie der Limesräume. Ann. Acad. Sci. Fenn. Ser. A I,383 (1966).
[5] E. Binz, H.-P. Butzmann, W. Feldman, K. Kutzler andM. Schroder, On ?-admissible vector space topologies onC(X). Math. Ann.196, 39-47 (1972). · Zbl 0216.15601 · doi:10.1007/BF01419430
[6] H.-P.Butzmann and B.Müller, Topological,c-embedded spaces. To appear.
[7] H. R. Fischer, Limesräume. Math. Ann.137, 269-303 (1959). · Zbl 0086.08803 · doi:10.1007/BF01360965
[8] L.Gillman and M.Jerison, Rings of continuous functions. Princeton 1960. · Zbl 0093.30001
[9] H. Jarchow, Marinescu-Räume. Comment. Math. Helv.44, 138-163 (1969). · Zbl 0175.41501 · doi:10.1007/BF02564519
[10] D. G. Johnson andJ. E. Mack: The Dedekind completion ofC(X). Pacific J. Math.20, 231-243 (1967). · Zbl 0152.39802
[11] S. Warner, The topology of compact convergence on continuous function spaces. Duke Math. J.25, 265-282 (1958). · Zbl 0081.32802 · doi:10.1215/S0012-7094-58-02523-7
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