Self-homeomorphisms of the 2-sphere which fix pointwise a nonseparating continuum

 Access to full text

 Full (PDF)

1. [1] R. H. Bing, The Geometric Topology of 3-Manifolds, Amer. Math. Soc., Providence, R.I., 1983. 
2. [2] B. L. Brechner, On stable homeomorphisms and imbeddings of the pseudo-arc, Illinois J. Math. 22 (1978), 630-661. Zbl0386.54021
3. [3] T. Dobrowolski and H. Toruńczyk, Separable complete ANR's admitting a group structure are Hilbert manifolds, Topology Appl. 12 (1981), 229-235. Zbl0472.57009
4. [4] B. Friberg, A topological proof of a theorem of Kneser, Proc. Amer. Math. Soc. 39 (1973), 421-426. 
5. [5] O. Hanner, Some theorems on absolute neighborhood retracts, Ark. Mat. 1 (1951), 389-408. Zbl0042.41102
6. [6] W. Haver, Topological description of the space of homeomorphisms on closed 2-manifolds, Illinois J. Math. 19 (1975), 632-635. Zbl0338.57018
7. [7] D. Henderson, Infinite-dimensional manifolds are open subsets of Hilbert space, Topology 9 (1970), 25-33. Zbl0167.51904
8. [8] W. B. R. Lickorish, A finite set of generators for the homeotopy group of a 2-manifold, Proc. Cambridge Philos. Soc. 60 (1964), 769-778. Zbl0131.20801
9. [9] R. Luke and W. K. Mason, The space of homeomorphisms on a compact two-manifold is an absolute neighborhood retract, Trans. Amer. Math. Soc. 164 (1972), 273-285. Zbl0235.57002
10. [10] W. K. Mason, The space of all self-homeomorphisms of a 2-cell which fix the cell's boundary is an absolute retract, ibid. 161 (1971), 185-205. Zbl0234.57016
11. [11] C. Pommerenke, Boundary Behavior of Conformal Maps, Springer, Berlin, 1991. 
12. [12] D. J. Sprows, Isotopy groups of bounded 2-manifolds, Kumamoto J. Sci. (Math.) 15 (1983), 73-77. Zbl0528.57007
13. [13] J. van Mill, Infinite Dimensional Topology, North-Holland, Amsterdam, 1989.