On the homeomorphism groups of manifolds and their universal coverings

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1. [1] Abe K., Fukui K., Commutators of C ∞-diffeomorphisms preserving a submanifold, J. Math. Soc. Japan, 2009, 61(2), 427–436 http://dx.doi.org/10.2969/jmsj/06120427 Zbl1169.57029
2. [2] Anderson R.D., On homeomorphisms as products of conjugates of a given homeomorphism and its inverse, In: Topology of 3-Manifolds and Related Topics, 1961, Prentice-Hall, Englewood Cliffs, 231–234 
3. [3] Banyaga A., Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique, Comment. Math. Helv., 1978, 53(2), 174–227 http://dx.doi.org/10.1007/BF02566074 Zbl0393.58007
4. [4] Banyaga A., The Structure of Classical Diffeomorphism Groups, Math. Appl., 400, Kluwer, Dordrecht, 1997 Zbl0874.58005
5. [5] Brown K.S, Cohomology of Groups, Grad. Texts in Math., 87, Springer, New York-Heidelberg-Berlin, 1982 
6. [6] Burago D., Ivanov S., Polterovich S., Conjugation-invariant norms on groups of geometric origin, In: Groups of Diffeomorphisms, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo, 2008, 221–250 Zbl1222.20031
7. [7] Edwards R.D., Kirby R.C., Deformations of spaces of imbeddings, Ann. of Math., 1971, 93, 63–88 http://dx.doi.org/10.2307/1970753 Zbl0214.50303
8. [8] Fisher G.M., On the group of all homeomorphisms of a manifolds, Trans. Amer. Math. Soc., 1960, 97, 193–212 http://dx.doi.org/10.1090/S0002-9947-1960-0117712-9 Zbl0144.22902
9. [9] Fukui K., Homologies of the group Diff∞(ℝn, 0) and its subgroups, J. Math. Kyoto Univ., 1980, 20(3), 475–487 Zbl0476.57016
10. [10] Fukui K., Imanishi H., On commutators of foliation preserving homeomorphisms, J. Math. Soc. Japan, 1999, 51(1), 227–236 http://dx.doi.org/10.2969/jmsj/05110227 Zbl0928.57034
11. [11] Haller S., Rybicki T., On the group of diffeomorphisms preserving a locally conformal symplectic structure, Ann. Global Anal. Geom., 1999, 17(5), 475–502 http://dx.doi.org/10.1023/A:1006650124434 Zbl0940.53044
12. [12] Hirsch M.W., Differential Topology, Grad. Texts in Math., 33, Springer, New York-Heidelberg, 1976 
13. [13] Ling W., Factorizable groups of homeomorphisms, Compositio Math., 1984, 51(1), 41–50 Zbl0529.58009
14. [14] Mather J.N., The vanishing of the homology of certain groups of homeomorphisms, Topology, 1971, 10(4), 297–298 http://dx.doi.org/10.1016/0040-9383(71)90022-X 
15. [15] Mather J.N., Commutators of diffeomorphisms. I, II, Comment. Math. Helv., 1974, 49, 512–528; 1975, 50, 33–40 http://dx.doi.org/10.1007/BF02566746 Zbl0289.57014
16. [16] McDuff D., The lattice of normal subgroups of the group of diffeomorphisms or homeomorphisms of an open manifold, J. Lond. Math. Soc., 1978, 18(2), 353–364 http://dx.doi.org/10.1112/jlms/s2-18.2.353 
17. [17] Rybicki T., Commutators of diffeomorphisms of a manifold with boundary, Ann. Polon. Math., 1998, 68(3), 199–210 Zbl0907.57022
18. [18] Rybicki T., On commutators of equivariant homeomorphisms, Topology Appl., 2007, 154(8), 1561–1564 http://dx.doi.org/10.1016/j.topol.2006.12.003 Zbl1117.57033
19. [19] Rybicki T., Commutators of contactomorphisms, Adv. Math., 2010, 225(6), 3291–3326 http://dx.doi.org/10.1016/j.aim.2010.06.004 Zbl1203.22016
20. [20] Rybicki T., Boundedness of certain automorphism groups of an open manifold, Geom. Dedicata, 2011, 151(1), 175–186 http://dx.doi.org/10.1007/s10711-010-9525-4 
21. [21] Rybicki T., Locally continuously perfect groups of homeomorphisms, Ann. Global Anal. Geom., 2011, 40(2), 191–202 http://dx.doi.org/10.1007/s10455-011-9253-5 Zbl1226.57046
22. [22] Siebenmann L.C., Deformation of homeomorphisms on stratified sets. I, II, Comment. Math. Helv., 1972, 47, 123–136, 137–163 http://dx.doi.org/10.1007/BF02566793 Zbl0252.57012
23. [23] Thurston W., Foliations and groups of diffeomorphisms, Bull. Amer. Math. Soc., 1974, 80(2), 304–307 http://dx.doi.org/10.1090/S0002-9904-1974-13475-0 Zbl0295.57014
24. [24] Tsuboi T., On the homology of classifying spaces for foliated products, In: Foliations, Tokyo, 1983, Adv. Stud. Pure Math., 5, North-Holland, Amsterdam, 1985, 37–120 
25. [25] Tsuboi T., On the perfectness of groups of diffeomorphisms of the interval tangent to the identity at the endpoints, In: Foliations: Geometry and Dynamics, Warsaw, 2000, World Scientific, River Edge, 2002, 421–440 http://dx.doi.org/10.1142/9789812778246_0022 Zbl1012.58006
26. [26] Tsuboi T., On the uniform perfectness of diffeomorphism groups, In: Groups of Diffeomorphisms, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo, 2008, 505–524 Zbl1183.57024

1. Tomasz Rybicki, On the uniform perfectness of groups of bundle homeomorphisms