Local triviality of Hurewicz fiber maps
HTML articles powered by AMS MathViewer
- by Soon-kyu Kim
- Trans. Amer. Math. Soc. 135 (1969), 51-67
- DOI: https://doi.org/10.1090/S0002-9947-1969-0233357-2
- PDF | Request permission
References
- Guy Allaud and Edward Fadell, A fiber homotopy extension theorem, Trans. Amer. Math. Soc. 104 (1962), 239–251. MR 174057, DOI 10.1090/S0002-9947-1962-0174057-0
- Armand Borel, Seminar on transformation groups, Annals of Mathematics Studies, No. 46, Princeton University Press, Princeton, N.J., 1960. With contributions by G. Bredon, E. E. Floyd, D. Montgomery, R. Palais. MR 0116341
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- E. Dyer and M.-E. Hamstrom, Completely regular mappings, Fund. Math. 45 (1958), 103–118. MR 92959, DOI 10.4064/fm-45-1-103-118
- Edward Fadell, On fiber spaces, Trans. Amer. Math. Soc. 90 (1959), 1–14. MR 101520, DOI 10.1090/S0002-9947-1959-0101520-0
- Mary-Elizabeth Hamstrom, Regular mappings and the space of homeomorphisms on a $3$-manifold, Mem. Amer. Math. Soc. 40 (1961), 42. MR 152999
- Mary-Elizabeth Hamstrom and Eldon Dyer, Regular mappings and the space of homeomorphisms on a 2-manifold, Duke Math. J. 25 (1958), 521–531. MR 96202
- Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. MR 0106454
- Witold Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 956–961. MR 73987, DOI 10.1073/pnas.41.11.956
- Edwin E. Moise, Affine structures in $3$-manifolds. II. Positional properties of $2$-spheres, Ann. of Math. (2) 55 (1952), 172–176. MR 45380, DOI 10.2307/1969426
- C. D. Papakyriakopoulos, A reduction of the Poincaré conjecture to group theoretic conjectures, Ann. of Math. (2) 77 (1963), 250–305. MR 145496, DOI 10.2307/1970216
- Frank Raymond, Local triviality for Hurewicz fiberings of manifolds, Topology 3 (1965), 43–57. MR 159337, DOI 10.1016/0040-9383(65)90069-8
- Frank Raymond, Separation and union theorems for generalized manifolds with boundary, Michigan Math. J. 7 (1960), 7–21. MR 120638
- Frank Raymond, The end point compactification of manifolds, Pacific J. Math. 10 (1960), 947–963. MR 120637, DOI 10.2140/pjm.1960.10.947
- Yu. M. Smirnov, On the metrizability of bicompacts decomposable into a sum of sets with countable basis, Fund. Math. 43 (1956), 387–393 (Russian). MR 84127
- Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491, DOI 10.1090/coll/032
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- 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