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Completely regular mappings with locally compact fiber. (English) Zbl 0193.23001


MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
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References:

[1] Richard Arens, Topologies for homeomorphism groups, Amer. J. Math. 68 (1946), 593 – 610. · Zbl 0061.24306 · doi:10.2307/2371787
[2] E. Dyer and M.-E. Hamstrom, Completely regular mappings, Fund. Math. 45 (1958), 103 – 118. · Zbl 0083.38704
[3] Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. · Zbl 0088.38803
[4] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[5] Soon-kyu Kim, Local triviality of Hurewicz fiber maps, Trans. Amer. Math. Soc. 135 (1969), 51 – 67. · Zbl 0176.53004
[6] Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361 – 382. · Zbl 0071.15902 · doi:10.2307/1969615
[7] Ernest Michael, Continuous selections. II, Ann. of Math. (2) 64 (1956), 562 – 580. · Zbl 0073.17702 · doi:10.2307/1969603
[8] Ernest Michael, Continuous selections. III, Ann. of Math. (2) 65 (1957), 375 – 390. · Zbl 0088.15003 · doi:10.2307/1969969
[9] Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. · Zbl 0054.07103
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