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A class of mappings containing all continuous and all semiconnected mappings. (English) Zbl 0408.54003

MSC:
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54C05 Continuous maps
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[1] N. Bourbaki, General Topology. Part I, Addison-Wesley, Reading, Mass., 1966. · Zbl 0145.19302
[2] James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. · Zbl 0144.21501
[3] Francedlaois Lorrain, Notes on topological spaces with minimum neighborhoods, Amer. Math. Monthly 76 (1969), 616 – 627. · Zbl 0207.21201 · doi:10.2307/2316662 · doi.org
[4] Melvin R. Hagan, Conditions for continuity of certain open monotone functions, Proc. Amer. Math. Soc. 30 (1971), 175 – 178. · Zbl 0222.54012
[5] John Jones Jr., On semiconnected mappings of topological spaces, Proc. Amer. Math. Soc. 19 (1968), 174 – 175. · Zbl 0155.50202
[6] J. K. Kohli, Sufficient conditions for continuity of certain connected functions, Glas. Mat. Ser. III 15(35) (1980), no. 2, 377 – 381 (English, with Serbo-Croatian summary). · Zbl 0455.54007
[7] -, On monotone extensions of maps (preprint).
[8] Yu-Lee Lee, Some characterizations of semi-locally connected spaces, Proc. Amer. Math. Soc. 16 (1965), 1318 – 1320. · Zbl 0135.41003
[9] Paul E. Long, Concerning semiconnected maps, Proc. Amer. Math. Soc. 21 (1969), 117 – 118. · Zbl 0175.49304
[10] Paul E. Long and Larry L. Herrington, Functions with strongly-closed graphs, Boll. Un. Mat. Ital. (4) 12 (1975), no. 3, 381 – 384 (English, with Italian summary). · Zbl 0326.54009
[11] Gordon Thomas Whyburn, Analytic topology, American Mathematical Society Colloquium Publications, Vol. XXVIII, American Mathematical Society, Providence, R.I., 1963. · Zbl 0117.15804
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