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Local to global theorems in the theory of Hurewicz fibrations. (English) Zbl 0216.45001


MSC:

55R05 Fiber spaces in algebraic topology
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References:

[1] Witold Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. U. S. A. 41 (1955), 956 – 961. · Zbl 0067.15902
[2] J. Cheeger and J. M. Kister, Counting topological manifolds, Topology 9 (1970), 149 – 151. · Zbl 0199.58403 · doi:10.1016/0040-9383(70)90036-4
[3] Arne Strøm, Note on cofibrations. II, Math. Scand. 22 (1968), 130 – 142 (1969). · Zbl 0181.26504 · doi:10.7146/math.scand.a-10877
[4] Guy Allaud and Edward Fadell, A fiber homotopy extension theorem, Trans. Amer. Math. Soc. 104 (1962), 239 – 251. · Zbl 0104.39702
[5] D. C. West, I, On uniformly locally contractible spaces. II, Transitive translation functions in fibre bundles, Ph.D. Thesis, University of Wisconsin, Madison, Wis., 1965.
[6] Gerald S. Ungar, Conditions for a mapping to have the slicing structure property, Pacific J. Math. 30 (1969), 549 – 553. · Zbl 0186.56203
[7] Albrecht Dold, Partitions of unity in the theory of fibrations, Ann. of Math. (2) 78 (1963), 223 – 255. · Zbl 0203.25402 · doi:10.2307/1970341
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