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Homotopy properties of the space of homeomorphisms on $ P\sp{2}$ and the Klein bottle


Author: Mary-Elizabeth Hamstrom
Journal: Trans. Amer. Math. Soc. 120 (1965), 37-45
MSC: Primary 55.60; Secondary 57.55
DOI: https://doi.org/10.1090/S0002-9947-1965-0184234-3
MathSciNet review: 0184234
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  • [1] J. W. Alexander, On the deformation of an $ n$-cell, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 406-407.
  • [2] Eldon Dyer and Mary-Elizabeth Hamstrom, Completely regular mappings, Fund. Math. 45 (1958), 103-118. MR 0092959 (19:1187e)
  • [3] 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 0096202 (20:2695)
  • [4] Mary-Elizabeth Hamstrom, Some global properties of the space of homeomorphisms on a disc with holes, Duke Math. J. 29 (1962), 657-662. MR 0143185 (26:745)
  • [5] -, Regular mappings and decompositions of product spaces, Notices Amer. Math. Soc. 10 (1963), 492.
  • [6] -, The space of homeomorphisms on a torus, Notices Amer. Math. Soc. 10 (1963), 275.
  • [7] S. T. Hu, Homotopy theory, Academic Press, New York, 1959. MR 0106454 (21:5186)
  • [8] H. Kneser, Die Deformationsätze der einfach zusammenhäugenden Flächen, Math. Z. 25 (1926), 362-372. MR 1544816
  • [9] W. B. R. Lickorish, A representation of orientable, combinatorial $ 3$-manifolds, Ann. of Math. 76 (1962), 531-540. MR 0151948 (27:1929)
  • [10] -, Homeomorphisms of nonorientable $ 2$-manifolds, Proc. Cambridge Philos. Soc. 59 (1963), 307-317. MR 0145498 (26:3029)
  • [11] G. S. McCarty, Jr., Local connectivity in homeomorphism groups, Bull. Amer. Math. Soc. 67 (1961), 420-421. MR 0149454 (26:6942)
  • [12] -, Homeotopy groups, Trans. Amer. Math. Soc. 106 (1963), 293-304. MR 0145531 (26:3062)
  • [13] G. D. Mostow, The extensibility of local Lie groups of transformations and groups on surfaces, Ann. of Math. 52 (1950), 606-636. MR 0048464 (14:18d)
  • [14] Louis V. Quintas, On the space of homeomorphisms of a multiply punctured surface of genus $ g$ (to appear).
  • [15] J. H. Roberts, Local arcwise connectivity in the space $ {H^n}$ of homeomorphisms of $ {S^n}$ onto itself, Summary of Lectures, Summer Institute on Set Theoretic Topology, Madison, Wisconsin, 1955; p. 100.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1965-0184234-3
Article copyright: © Copyright 1965 American Mathematical Society

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