A topological Reeb-Milnor-Rosen theorem and characterizations of manifolds
HTML articles powered by AMS MathViewer
- by Louis F. McAuley PDF
- Bull. Amer. Math. Soc. 78 (1972), 82-84
References
- A. V. Černavskiĭ, Local contractibility of the group of homeomorphisms of a manifold. , Dokl. Akad. Nauk SSSR 182 (1968), 510–513 (Russian). MR 0236948
- 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
- Robert D. Edwards and Robion C. Kirby, Deformations of spaces of imbeddings, Ann. of Math. (2) 93 (1971), 63–88. MR 283802, DOI 10.2307/1970753
- Mary-Elizabeth Hamstrom, Completely regular mappings whose inverses have $\textrm {LC}^{0}$ homeomorphism group: A correction, Proc. First Conf. on Monotone Mappings and Open Mappings (SUNY at Binghamton, Binghamton, N.Y., 1970) State Univ. of New York at Binghamton, Binghamton, N.Y., 1971, pp. 255–260. MR 0278270
- Louis F. McAuley, The existence of a complete metric for a special mapping space and some consequences, Topology Seminar (Wisconsin, 1965) Ann. of Math. Studies, No. 60, Princeton Univ. Press, Princeton, N.J., 1966, pp. 135–139. MR 0231348
- Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361–382. MR 77107, DOI 10.2307/1969615
- John Milnor, On manifolds homeomorphic to the $7$-sphere, Ann. of Math. (2) 64 (1956), 399–405. MR 82103, DOI 10.2307/1969983
- John W. Milnor, Sommes de variétes différentiables et structures différentiables des sphères, Bull. Soc. Math. France 87 (1959), 439–444 (French). MR 117744, DOI 10.24033/bsmf.1538
- Georges Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Publ. Inst. Math. Univ. Strasbourg, vol. 11, Hermann & Cie, Paris, 1952 (French). MR 0055692 10. R. Rosen, A weak form of the star conjecture for manifolds, Notices Amer. Math. Soc. 7 (1960), 380. Abstract #570-28.
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 82-84
- MSC (1970): Primary 5428, 5478, 5460, 5560, 5731, 5701
- DOI: https://doi.org/10.1090/S0002-9904-1972-12866-0
- MathSciNet review: 0287524