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Continuous selections with nonmetrizable range. (English) Zbl 0148.16803


MSC:

54C65 Selections in general topology

Keywords:

topology
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References:

[1] R. M. Blumenthal, Joram Lindenstrauss, and R. R. Phelps, Extreme operators into \?(\?), Pacific J. Math. 15 (1965), 747 – 756. · Zbl 0141.32101
[2] H. H. Corson and J. Lindenstrauss, On simultaneous extension of continuous functions · Zbl 0132.09301
[3] H. H. Corson and J. Lindenstrauss, On function spaces which are Lindelöf spaces, Trans. Amer. Math. Soc. 121 (1966), 476 – 491. · Zbl 0144.37102
[4] H. H. Corson and J. Lindenstrauss, On weakly compact subsets of Banach spaces, Proc. Amer. Math. Soc. 17 (1966), 407 – 412. · Zbl 0186.44703
[5] J. Dugundji, An extension of Tietze’s theorem, Pacific J. Math. 1 (1951), 353 – 367. · Zbl 0043.38105
[6] N. Dunford and J. Schwartz, Linear operators, Part I, Interscience, New York, 1958. · Zbl 0084.10402
[7] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604
[8] Victor L. Klee Jr., Convex bodies and periodic homeomorphisms in Hilbert space, Trans. Amer. Math. Soc. 74 (1953), 10 – 43. · Zbl 0050.33202
[9] Ernest Michael, Some extension theorems for continuous functions, Pacific J. Math. 3 (1953), 789 – 806. · Zbl 0052.11502
[10] Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361 – 382. · Zbl 0071.15902 · doi:10.2307/1969615
[11] E. Michael, Dense families of continuous selections, Fund. Math. 47 (1959), 173 – 178. · Zbl 0092.15402
[12] E. Michael, A linear mappping between function spaces, Proc. Amer. Math. Soc. 15 (1964), 407 – 409. · Zbl 0133.07204
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