Geodesic
Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 337-346

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DOI

It is shown that the group of compactly supported, measure-preserving homeomorphisms of a connected, second countable manifold is locally contractible in the direct limit topology. Furthermore, this group is weakly homotopically equivalent to the more general group of compactly supported homeomorphisms.
DOI : 10.4153/CMB-2006-034-0
Mots-clés : 57S05, 58F11 
Berlanga, R. Homotopy Equivalence and Groups of Measure-Preserving Homeomorphisms. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 337-346. doi: 10.4153/CMB-2006-034-0
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     author = {Berlanga, R.},
     title = {Homotopy {Equivalence} and {Groups} of {Measure-Preserving} {Homeomorphisms}},
     journal = {Canadian mathematical bulletin},
     pages = {337--346},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-034-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-034-0/}
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