On homeomorphism groups and the compact-open topology

American Mathematical Monthly

Volumn 112, Issue 10, 2005, Pages 910-912

  Dijkstra, Jan J ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344443623     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/30037630     Document Type: Review

References (13)

1. R. D. Anderson, Spaces of homeomorphisms of finite graphs (unpublished manuscript).
2. R. Arens, Topologies for homeomorphism groups, Amer. J. Math. 68 (1946) 593-610.
3. C. Bessaga and A. Pełczyński, Selected Topics in Infinite-Dimensional Topology, Polish Scientific Publishers, Warsaw, 1975.
4. J. J. Dijkstra and J. van Mill, Homeomorphism groups of manifolds and Erdos space, Electron. Res. Announc. Amer. Math. Soc. 10 (2004) 29-38.
5. _, On the group of homeomorphisms of the real line that map the pseudoboundary onto itself, Canad. J. Math. (to appear).
6. _, Erdos space and homeomorphism groups of manifolds (2004 preprint).
7. T. Dobrowolski and H. Toruńczyk, Separable complete ANRs admitting a group structure are Hilbert manifolds, Topology Appl. 12 (1981) 229-235.
8. R. Engelking, Dimension Theory, North-Holland, Amsterdam, 1978.
9. P. Erdos, The dimension of the rational points in Hilbert space, Ann. of Math. 41 (1940) 734-736.
10. S. Ferry, The homeomorphism group of a compact Hilbert cube manifold is an ANR, Ann. of Math. 106 (1977) 101-119.
11. I.E. Keesling, Using flows to construct Hilbert space factors of function spaces, Trans. Amer. Math. Soc. 161 (1971) 1-24.
12. R. Luke and W. K. Mason, The space of homeomorphisms of a compact two-manifold is an absolute neighborhood retract, Trans. Amer. Math. Soc. 164 (1972) 275-285.
13. H. Toruńczyk, Homeomorphism groups of compact Hilbert cube manifolds which are manifolds, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977) 401-408.