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Article

Keywords:
separate continuity; cluster sets; closed graph; $O$-connectedness; local $w^*$ continuity
Summary:
Separately continuous functions are shown to have certain properties related to connectedness.
References:
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[2] W.J. Pervin N. Levine: Connected mappings of Hausdorff spaces. Proc. Amer. Math. Soc. 9 (1958), 488-495. DOI 10.1090/S0002-9939-1958-0095468-2 | MR 0095468
[3] Z. Piotrowski: Separate and joint continuity. Real Anal. Exchange 11 (1985-86), 293-322. MR 0844254 | Zbl 0606.54009
[4] S. Willаrd: General Topology. Addison-Wesley PuЫishing Co.. London, 1970. MR 0264581
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