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Transactions of the American Mathematical Society

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Local triviality of Hurewicz fiber maps


Author: Soon-kyu Kim
Journal: Trans. Amer. Math. Soc. 135 (1969), 51-67
MSC: Primary 55.50
DOI: https://doi.org/10.1090/S0002-9947-1969-0233357-2
MathSciNet review: 0233357
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  • [1] G. Allaud and E. Fadell, A fiber homotopy extension theorem, Trans. Amer. Math. Soc. 104 (1962), 239-251. MR 0174057 (30:4264)
  • [2] A. Borel et al., Seminar on transformation groups, Ann. of Math. Studies No. 46, Princeton Univ. Press, Princeton, N. J., 1960. MR 0116341 (22:7129)
  • [3] J. Dugundji, Topology, Allyn and Bacon, Boston, Mass., 1966. MR 0193606 (33:1824)
  • [4] E. Dyer and M.-E. Hamstrom, Completely regular mappings, Fund. Math. 65 (1957), 103-118. MR 0092959 (19:1187e)
  • [5] E. Fadell, On the fiber spaces, Trans. Amer. Math. Soc. 90 (1959), 1-14. MR 0101520 (21:330)
  • [6] M.-E. Hamstrom, Regular mapping and the space of homeomorphisms on 3-manifolds, Mem. Amer. Math. Soc. No. 40 (1961). MR 0152999 (27:2970)
  • [7] M.-E. Hamstron and E. Dyer, Regular mappings and the space of homeomorphisms on a 2-manifold, Duke Math. J. 25 (1958), 521-532. MR 0096202 (20:2695)
  • [8] S. T. Hu, Homotopy theory, Academic Press, New York, 1959. MR 0106454 (21:5186)
  • [9] H. Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 956-961. MR 0073987 (17:519e)
  • [10] E. E. Moise, Affine structure in 3-manifolds. II: Positional properties of 2-spheres, Ann. of Math. 55 (1952), 172-176. MR 0045380 (13:574a)
  • [11] C. D. Papakyriokopoulos, A reduction of the Poincaré conjecture to group theoretic conjectures, Ann. of Math. 77 (1963), 250-305. MR 0145496 (26:3027)
  • [12] F. Raymond, Local triviality for Hurewicz fiberings of manifolds, Topology 3 (1965), 43-57. MR 0159337 (28:2554)
  • [13] -, Separation and union theorems for generalized manifolds with boundary, Michigan Math. J. 7 (1960), 7-21. MR 0120638 (22:11388)
  • [14] F. Raymond, The end point compactification of manifolds, Michigan Math. J. 10 (1960), 947-963. MR 0120637 (22:11387)
  • [15] Yu. M. Simirnov, On the metrizability of bicompacts decomposable into a sum of sets with countable basis, Fund. Math. 43 (1956), 387-393. MR 0084127 (18:813d)
  • [16] R. L. Wilder, Topology of manifolds, Amer. Math. Soc. Colloq. Publ., Vol. 32, Amer. Math. Soc., Providence, R. I., 1949. MR 0029491 (10:614c)

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DOI: https://doi.org/10.1090/S0002-9947-1969-0233357-2
Article copyright: © Copyright 1969 American Mathematical Society

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