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On the closed graph theorem in topological spaces. (English) Zbl 0367.46005


MSC:

46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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References:

[1] BOURBAKI.N.: Topologie général, Chap. 9, Utilisation des nombres réels en topologie général. Paris, 1958 · Zbl 0085.37103
[2] De WILDE, M. and SUNYACH, C.: Un théorème de selection pour des applications à graphe borelién. C.R. Acad. Sci. Paris269, 273-277 (1969) · Zbl 0194.23501
[3] KELLEY,J. L. and NAMIOKA,L.: Linear topological spaces, D. van Nostrand Company, Inc. London, 1963 · Zbl 0318.46001
[4] KURATOWSKI,K.: Topology, Vol. I, Acad. Press, New York, London 1966
[5] MARTINEAU,A.: Sur les théorèmes de S. Banach et de L.Schwartz concernant le graphe fermé. Studia Math. T. XXX, p.43-51 (1968) · Zbl 0177.41001
[6] NAKAMURA,M.: On quasi-Suslin space and closed graph theorem. Proc. Japan Acad.46 (6), p. 514-517. (1970) · Zbl 0216.40604 · doi:10.3792/pja/1195520268
[7] SCHWARTZ,L.: Sur le théorème du graphe fermé. C.R. Acad. Sci. Paris, 263, Ser. A. p. 602-605 (1966) · Zbl 0151.19202
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