Small isotopies in euclidean spaces and 3-manifolds. (English) Zbl 0089.39502


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[1] J. W. Alexander, On the deformation of an n-cell, Proc. Nat. Acad. Sci. vol. 9 (1923) pp. 406-407.
[2] Mary-Elizabeth Hamstrom and Eldon Dyer, Regular mappings and the space of homeomorphisms on a 2-manifold, Duke Math. J. 25 (1958), 521 – 531. · Zbl 0116.39903
[3] M. K. Fort Jr., A proof that the group of all homeomorphisms of the plane onto itself is locally arcwise connected, Proc. Amer. Math. Soc. 1 (1950), 59 – 62. · Zbl 0036.39003
[4] Hellmuth Kneser, Die Deformationssätze der einfach zusammenhängenden Flächen, Math. Z. 25 (1926), no. 1, 362 – 372 (German). · JFM 52.0573.01 · doi:10.1007/BF01283844
[5] J. H. Roberts, Local arcwise connectivity in the space H, Summary of Lectures, Summer Institute on Set Theoretic Topology, Madison, Wisconsin, 1955, p. 100.
[6] D. E. Sanderson, Isotopy in 3-manifolds. II. Fitting homeomorphisms by isotopy, Duke Math. J. 26 (1959), 387 – 396. · Zbl 0086.37704
[7] D. E. Sanderson, Isotopy in 3-manifolds. III. Connectivity of spaces of homeomorphisms, Proc. Amer. Math. Soc. 11 (1960), 171 – 176. · Zbl 0091.36302
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