Geodesic
Local Contractibility of the Homeomorphism Group of $\mathbb R^n$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 201-215 
A. V. Chernavskii. Local Contractibility of the Homeomorphism Group of $\mathbb R^n$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 201-215. http://geodesic.mathdoc.fr/item/TM_2008_263_a13/
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     author = {A. V. Chernavskii},
     title = {Local {Contractibility} of the {Homeomorphism} {Group} of~$\mathbb R^n$},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The goal of this paper is to give a modified exposition of the main part of the proof of the local contractibility theorem. The derivation of general theorems from the special case of Euclidean space remains intact. The exposition is rather detailed and is aimed, in particular, at correcting an inaccuracy in the original proof.

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